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Finding the Fourth Proportional to 977,706.70, 1,466,487.15 and 408,940.90

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Solution

The fourth proportional to 977,706.70, 1,466,487.15 and 408,940.90 is: 613,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,706.70 : 1,466,487.15 = 408,940.90 : x
  2. Step 2: Convert to fraction form
    977,706.70/1,466,487.15 = 408,940.90/x
  3. Step 3: Cross multiply
    977,706.70x = 1,466,487.15 × 408,940.90
  4. Step 4: Simplify right side
    977,706.70x = 599,706,574,959.44
  5. Step 5: Solve for x
    x = 599,706,574,959.44/977,706.70
  6. Step 6: Final answer
    x = 613,380.86

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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.