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Finding the Fourth Proportional to 402,062.60, 602,875.20 and 165,429.20

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Solution

The fourth proportional to 402,062.60, 602,875.20 and 165,429.20 is: 248,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,062.60 : 602,875.20 = 165,429.20 : x
  2. Step 2: Convert to fraction form
    402,062.60/602,875.20 = 165,429.20/x
  3. Step 3: Cross multiply
    402,062.60x = 602,875.20 × 165,429.20
  4. Step 4: Simplify right side
    402,062.60x = 99,733,162,035.84
  5. Step 5: Solve for x
    x = 99,733,162,035.84/402,062.60
  6. Step 6: Final answer
    x = 248,053.82

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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.