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Finding the Fourth Proportional to 564,958.95, 847,439.82 and 138,496.65

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Solution

The fourth proportional to 564,958.95, 847,439.82 and 138,496.65 is: 207,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,958.95 : 847,439.82 = 138,496.65 : x
  2. Step 2: Convert to fraction form
    564,958.95/847,439.82 = 138,496.65/x
  3. Step 3: Cross multiply
    564,958.95x = 847,439.82 × 138,496.65
  4. Step 4: Simplify right side
    564,958.95x = 117,367,576,146.60
  5. Step 5: Solve for x
    x = 117,367,576,146.60/564,958.95
  6. Step 6: Final answer
    x = 207,745.32

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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.