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Finding the Fourth Proportional to 518,592.76, 715,658.02 and 280,128.76

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Solution

The fourth proportional to 518,592.76, 715,658.02 and 280,128.76 is: 386,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,592.76 : 715,658.02 = 280,128.76 : x
  2. Step 2: Convert to fraction form
    518,592.76/715,658.02 = 280,128.76/x
  3. Step 3: Cross multiply
    518,592.76x = 715,658.02 × 280,128.76
  4. Step 4: Simplify right side
    518,592.76x = 200,476,393,726.66
  5. Step 5: Solve for x
    x = 200,476,393,726.66/518,592.76
  6. Step 6: Final answer
    x = 386,577.69

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Half scale
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Double scale
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1.5x scale

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.