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Finding the Fourth Proportional to 378,665.61, 567,831.34 and 141,842.13

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Solution

The fourth proportional to 378,665.61, 567,831.34 and 141,842.13 is: 212,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,665.61 : 567,831.34 = 141,842.13 : x
  2. Step 2: Convert to fraction form
    378,665.61/567,831.34 = 141,842.13/x
  3. Step 3: Cross multiply
    378,665.61x = 567,831.34 × 141,842.13
  4. Step 4: Simplify right side
    378,665.61x = 80,542,406,746.35
  5. Step 5: Solve for x
    x = 80,542,406,746.35/378,665.61
  6. Step 6: Final answer
    x = 212,700.61

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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.