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Finding the Fourth Proportional to 977,659.20, 1,466,488.80 and 416,620.80

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Solution

The fourth proportional to 977,659.20, 1,466,488.80 and 416,620.80 is: 624,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,659.20 : 1,466,488.80 = 416,620.80 : x
  2. Step 2: Convert to fraction form
    977,659.20/1,466,488.80 = 416,620.80/x
  3. Step 3: Cross multiply
    977,659.20x = 1,466,488.80 × 416,620.80
  4. Step 4: Simplify right side
    977,659.20x = 610,969,737,047.04
  5. Step 5: Solve for x
    x = 610,969,737,047.04/977,659.20
  6. Step 6: Final answer
    x = 624,931.20

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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.