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Finding the Fourth Proportional to 487,278.96, 731,022.74 and 145,749.17

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Solution

The fourth proportional to 487,278.96, 731,022.74 and 145,749.17 is: 218,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,278.96 : 731,022.74 = 145,749.17 : x
  2. Step 2: Convert to fraction form
    487,278.96/731,022.74 = 145,749.17/x
  3. Step 3: Cross multiply
    487,278.96x = 731,022.74 × 145,749.17
  4. Step 4: Simplify right side
    487,278.96x = 106,545,959,251.50
  5. Step 5: Solve for x
    x = 106,545,959,251.50/487,278.96
  6. Step 6: Final answer
    x = 218,654.96

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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.