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Finding the Fourth Proportional to 518,305.52, 777,458.28 and 296,534

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Solution

The fourth proportional to 518,305.52, 777,458.28 and 296,534 is: 444,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,305.52 : 777,458.28 = 296,534 : x
  2. Step 2: Convert to fraction form
    518,305.52/777,458.28 = 296,534/x
  3. Step 3: Cross multiply
    518,305.52x = 777,458.28 × 296,534
  4. Step 4: Simplify right side
    518,305.52x = 230,542,813,601.52
  5. Step 5: Solve for x
    x = 230,542,813,601.52/518,305.52
  6. Step 6: Final answer
    x = 444,801

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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.