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Finding the Fourth Proportional to 378,497.61, 567,724.14 and 141,820.47

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Solution

The fourth proportional to 378,497.61, 567,724.14 and 141,820.47 is: 212,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,497.61 : 567,724.14 = 141,820.47 : x
  2. Step 2: Convert to fraction form
    378,497.61/567,724.14 = 141,820.47/x
  3. Step 3: Cross multiply
    378,497.61x = 567,724.14 × 141,820.47
  4. Step 4: Simplify right side
    378,497.61x = 80,514,904,365.15
  5. Step 5: Solve for x
    x = 80,514,904,365.15/378,497.61
  6. Step 6: Final answer
    x = 212,722.36

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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.