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Finding the Fourth Proportional to 501,691.77, 752,652.56 and 217,430

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Solution

The fourth proportional to 501,691.77, 752,652.56 and 217,430 is: 326,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,691.77 : 752,652.56 = 217,430 : x
  2. Step 2: Convert to fraction form
    501,691.77/752,652.56 = 217,430/x
  3. Step 3: Cross multiply
    501,691.77x = 752,652.56 × 217,430
  4. Step 4: Simplify right side
    501,691.77x = 163,649,246,120.80
  5. Step 5: Solve for x
    x = 163,649,246,120.80/501,691.77
  6. Step 6: Final answer
    x = 326,194.80

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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.