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Finding the Fourth Proportional to 508,731.80, 763,443.30 and 284,091.80

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Solution

The fourth proportional to 508,731.80, 763,443.30 and 284,091.80 is: 426,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,731.80 : 763,443.30 = 284,091.80 : x
  2. Step 2: Convert to fraction form
    508,731.80/763,443.30 = 284,091.80/x
  3. Step 3: Cross multiply
    508,731.80x = 763,443.30 × 284,091.80
  4. Step 4: Simplify right side
    508,731.80x = 216,887,981,294.94
  5. Step 5: Solve for x
    x = 216,887,981,294.94/508,731.80
  6. Step 6: Final answer
    x = 426,330.69

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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.