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Finding the Fourth Proportional to 538,502.28, 743,102.88 and 296,784.12

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Solution

The fourth proportional to 538,502.28, 743,102.88 and 296,784.12 is: 409,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,502.28 : 743,102.88 = 296,784.12 : x
  2. Step 2: Convert to fraction form
    538,502.28/743,102.88 = 296,784.12/x
  3. Step 3: Cross multiply
    538,502.28x = 743,102.88 × 296,784.12
  4. Step 4: Simplify right side
    538,502.28x = 220,541,134,310.27
  5. Step 5: Solve for x
    x = 220,541,134,310.27/538,502.28
  6. Step 6: Final answer
    x = 409,545.40

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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.