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Finding the Fourth Proportional to 487,046.42, 730,642.53 and 171,447.74

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Solution

The fourth proportional to 487,046.42, 730,642.53 and 171,447.74 is: 257,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,046.42 : 730,642.53 = 171,447.74 : x
  2. Step 2: Convert to fraction form
    487,046.42/730,642.53 = 171,447.74/x
  3. Step 3: Cross multiply
    487,046.42x = 730,642.53 × 171,447.74
  4. Step 4: Simplify right side
    487,046.42x = 125,267,006,863.17
  5. Step 5: Solve for x
    x = 125,267,006,863.17/487,046.42
  6. Step 6: Final answer
    x = 257,197.27

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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.