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Finding the Fourth Proportional to 977,897,717.80, 1,466,846,576.70 and 909,022,964.20

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Solution

The fourth proportional to 977,897,717.80, 1,466,846,576.70 and 909,022,964.20 is: 1,363,534,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,897,717.80 : 1,466,846,576.70 = 909,022,964.20 : x
  2. Step 2: Convert to fraction form
    977,897,717.80/1,466,846,576.70 = 909,022,964.20/x
  3. Step 3: Cross multiply
    977,897,717.80x = 1,466,846,576.70 × 909,022,964.20
  4. Step 4: Simplify right side
    977,897,717.80x = 1,333,397,223,178,456,832
  5. Step 5: Solve for x
    x = 1,333,397,223,178,456,832/977,897,717.80
  6. Step 6: Final answer
    x = 1,363,534,446.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.