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Finding the Fourth Proportional to 529,732.96, 731,045.84 and 288,031.76

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Solution

The fourth proportional to 529,732.96, 731,045.84 and 288,031.76 is: 397,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,732.96 : 731,045.84 = 288,031.76 : x
  2. Step 2: Convert to fraction form
    529,732.96/731,045.84 = 288,031.76/x
  3. Step 3: Cross multiply
    529,732.96x = 731,045.84 × 288,031.76
  4. Step 4: Simplify right side
    529,732.96x = 210,564,419,935.88
  5. Step 5: Solve for x
    x = 210,564,419,935.88/529,732.96
  6. Step 6: Final answer
    x = 397,491.63

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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.