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Finding the Fourth Proportional to 500,478.47, 690,663.68 and 271,035.94

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Solution

The fourth proportional to 500,478.47, 690,663.68 and 271,035.94 is: 374,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,478.47 : 690,663.68 = 271,035.94 : x
  2. Step 2: Convert to fraction form
    500,478.47/690,663.68 = 271,035.94/x
  3. Step 3: Cross multiply
    500,478.47x = 690,663.68 × 271,035.94
  4. Step 4: Simplify right side
    500,478.47x = 187,194,679,732.66
  5. Step 5: Solve for x
    x = 187,194,679,732.66/500,478.47
  6. Step 6: Final answer
    x = 374,031.43

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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.