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Finding the Fourth Proportional to 406,856, 610,284 and 157,538

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Solution

The fourth proportional to 406,856, 610,284 and 157,538 is: 236,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,856 : 610,284 = 157,538 : x
  2. Step 2: Convert to fraction form
    406,856/610,284 = 157,538/x
  3. Step 3: Cross multiply
    406,856x = 610,284 × 157,538
  4. Step 4: Simplify right side
    406,856x = 96,142,920,792
  5. Step 5: Solve for x
    x = 96,142,920,792/406,856
  6. Step 6: Final answer
    x = 236,307

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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.