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Finding the Fourth Proportional to 472,691.64, 652,323.30 and 257,839.41

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Solution

The fourth proportional to 472,691.64, 652,323.30 and 257,839.41 is: 355,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,691.64 : 652,323.30 = 257,839.41 : x
  2. Step 2: Convert to fraction form
    472,691.64/652,323.30 = 257,839.41/x
  3. Step 3: Cross multiply
    472,691.64x = 652,323.30 × 257,839.41
  4. Step 4: Simplify right side
    472,691.64x = 168,194,654,801.25
  5. Step 5: Solve for x
    x = 168,194,654,801.25/472,691.64
  6. Step 6: Final answer
    x = 355,823.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.