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Finding the Fourth Proportional to 399,472.32, 550,513.92 and 286,098.24

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Solution

The fourth proportional to 399,472.32, 550,513.92 and 286,098.24 is: 394,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,472.32 : 550,513.92 = 286,098.24 : x
  2. Step 2: Convert to fraction form
    399,472.32/550,513.92 = 286,098.24/x
  3. Step 3: Cross multiply
    399,472.32x = 550,513.92 × 286,098.24
  4. Step 4: Simplify right side
    399,472.32x = 157,501,063,607.50
  5. Step 5: Solve for x
    x = 157,501,063,607.50/399,472.32
  6. Step 6: Final answer
    x = 394,272.78

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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.