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Finding the Fourth Proportional to 261,818.31, 391,952.43 and 161,656.45

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Solution

The fourth proportional to 261,818.31, 391,952.43 and 161,656.45 is: 242,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,818.31 : 391,952.43 = 161,656.45 : x
  2. Step 2: Convert to fraction form
    261,818.31/391,952.43 = 161,656.45/x
  3. Step 3: Cross multiply
    261,818.31x = 391,952.43 × 161,656.45
  4. Step 4: Simplify right side
    261,818.31x = 63,361,638,402.67
  5. Step 5: Solve for x
    x = 63,361,638,402.67/261,818.31
  6. Step 6: Final answer
    x = 242,006.14

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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.