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Finding the Fourth Proportional to 493,444.81, 681,061.74 and 312,398.10

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Solution

The fourth proportional to 493,444.81, 681,061.74 and 312,398.10 is: 431,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,444.81 : 681,061.74 = 312,398.10 : x
  2. Step 2: Convert to fraction form
    493,444.81/681,061.74 = 312,398.10/x
  3. Step 3: Cross multiply
    493,444.81x = 681,061.74 × 312,398.10
  4. Step 4: Simplify right side
    493,444.81x = 212,762,392,387.20
  5. Step 5: Solve for x
    x = 212,762,392,387.20/493,444.81
  6. Step 6: Final answer
    x = 431,177.69

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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.