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Finding the Fourth Proportional to 519,691.34, 779,538.82 and 159,859.76

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Solution

The fourth proportional to 519,691.34, 779,538.82 and 159,859.76 is: 239,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,691.34 : 779,538.82 = 159,859.76 : x
  2. Step 2: Convert to fraction form
    519,691.34/779,538.82 = 159,859.76/x
  3. Step 3: Cross multiply
    519,691.34x = 779,538.82 × 159,859.76
  4. Step 4: Simplify right side
    519,691.34x = 124,616,889,063.18
  5. Step 5: Solve for x
    x = 124,616,889,063.18/519,691.34
  6. Step 6: Final answer
    x = 239,790.20

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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.