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Finding the Fourth Proportional to 402,731.60, 604,316.10 and 166,098.20

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Solution

The fourth proportional to 402,731.60, 604,316.10 and 166,098.20 is: 249,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,731.60 : 604,316.10 = 166,098.20 : x
  2. Step 2: Convert to fraction form
    402,731.60/604,316.10 = 166,098.20/x
  3. Step 3: Cross multiply
    402,731.60x = 604,316.10 × 166,098.20
  4. Step 4: Simplify right side
    402,731.60x = 100,375,816,441.02
  5. Step 5: Solve for x
    x = 100,375,816,441.02/402,731.60
  6. Step 6: Final answer
    x = 249,237.50

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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.