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Finding the Fourth Proportional to 519,221.40, 778,963.59 and 159,410.61

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Solution

The fourth proportional to 519,221.40, 778,963.59 and 159,410.61 is: 239,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,221.40 : 778,963.59 = 159,410.61 : x
  2. Step 2: Convert to fraction form
    519,221.40/778,963.59 = 159,410.61/x
  3. Step 3: Cross multiply
    519,221.40x = 778,963.59 × 159,410.61
  4. Step 4: Simplify right side
    519,221.40x = 124,175,061,049.69
  5. Step 5: Solve for x
    x = 124,175,061,049.69/519,221.40
  6. Step 6: Final answer
    x = 239,156.28

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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.