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Finding the Fourth Proportional to 564,980.16, 847,471.65 and 138,517.90

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Solution

The fourth proportional to 564,980.16, 847,471.65 and 138,517.90 is: 207,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,980.16 : 847,471.65 = 138,517.90 : x
  2. Step 2: Convert to fraction form
    564,980.16/847,471.65 = 138,517.90/x
  3. Step 3: Cross multiply
    564,980.16x = 847,471.65 × 138,517.90
  4. Step 4: Simplify right side
    564,980.16x = 117,389,993,267.54
  5. Step 5: Solve for x
    x = 117,389,993,267.54/564,980.16
  6. Step 6: Final answer
    x = 207,777.20

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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.