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Finding the Fourth Proportional to 564,807.70, 847,206.15 and 138,345.40

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Solution

The fourth proportional to 564,807.70, 847,206.15 and 138,345.40 is: 207,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,807.70 : 847,206.15 = 138,345.40 : x
  2. Step 2: Convert to fraction form
    564,807.70/847,206.15 = 138,345.40/x
  3. Step 3: Cross multiply
    564,807.70x = 847,206.15 × 138,345.40
  4. Step 4: Simplify right side
    564,807.70x = 117,207,073,704.21
  5. Step 5: Solve for x
    x = 117,207,073,704.21/564,807.70
  6. Step 6: Final answer
    x = 207,516.78

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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.