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Finding the Fourth Proportional to 402,074.10, 602,892.45 and 165,440.70

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Solution

The fourth proportional to 402,074.10, 602,892.45 and 165,440.70 is: 248,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,074.10 : 602,892.45 = 165,440.70 : x
  2. Step 2: Convert to fraction form
    402,074.10/602,892.45 = 165,440.70/x
  3. Step 3: Cross multiply
    402,074.10x = 602,892.45 × 165,440.70
  4. Step 4: Simplify right side
    402,074.10x = 99,742,948,952.72
  5. Step 5: Solve for x
    x = 99,742,948,952.72/402,074.10
  6. Step 6: Final answer
    x = 248,071.06

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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.