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Finding the Fourth Proportional to 564,978.66, 847,469.40 and 138,516.40

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Solution

The fourth proportional to 564,978.66, 847,469.40 and 138,516.40 is: 207,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,978.66 : 847,469.40 = 138,516.40 : x
  2. Step 2: Convert to fraction form
    564,978.66/847,469.40 = 138,516.40/x
  3. Step 3: Cross multiply
    564,978.66x = 847,469.40 × 138,516.40
  4. Step 4: Simplify right side
    564,978.66x = 117,388,410,398.16
  5. Step 5: Solve for x
    x = 117,388,410,398.16/564,978.66
  6. Step 6: Final answer
    x = 207,774.95

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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.