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Finding the Fourth Proportional to 402,915.60, 604,592.10 and 166,282.20

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Solution

The fourth proportional to 402,915.60, 604,592.10 and 166,282.20 is: 249,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,915.60 : 604,592.10 = 166,282.20 : x
  2. Step 2: Convert to fraction form
    402,915.60/604,592.10 = 166,282.20/x
  3. Step 3: Cross multiply
    402,915.60x = 604,592.10 × 166,282.20
  4. Step 4: Simplify right side
    402,915.60x = 100,532,904,490.62
  5. Step 5: Solve for x
    x = 100,532,904,490.62/402,915.60
  6. Step 6: Final answer
    x = 249,513.56

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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.