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Finding the Fourth Proportional to 406,840, 610,260 and 157,522

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Solution

The fourth proportional to 406,840, 610,260 and 157,522 is: 236,283

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840 : 610,260 = 157,522 : x
  2. Step 2: Convert to fraction form
    406,840/610,260 = 157,522/x
  3. Step 3: Cross multiply
    406,840x = 610,260 × 157,522
  4. Step 4: Simplify right side
    406,840x = 96,129,375,720
  5. Step 5: Solve for x
    x = 96,129,375,720/406,840
  6. Step 6: Final answer
    x = 236,283

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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.