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Finding the Fourth Proportional to 386,502.70, 579,854.85 and 149,853.10

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Solution

The fourth proportional to 386,502.70, 579,854.85 and 149,853.10 is: 224,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,502.70 : 579,854.85 = 149,853.10 : x
  2. Step 2: Convert to fraction form
    386,502.70/579,854.85 = 149,853.10/x
  3. Step 3: Cross multiply
    386,502.70x = 579,854.85 × 149,853.10
  4. Step 4: Simplify right side
    386,502.70x = 86,893,046,822.54
  5. Step 5: Solve for x
    x = 86,893,046,822.54/386,502.70
  6. Step 6: Final answer
    x = 224,818.73

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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.