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Finding the Fourth Proportional to 564,940.53, 847,412.19 and 138,478.28

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Solution

The fourth proportional to 564,940.53, 847,412.19 and 138,478.28 is: 207,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,940.53 : 847,412.19 = 138,478.28 : x
  2. Step 2: Convert to fraction form
    564,940.53/847,412.19 = 138,478.28/x
  3. Step 3: Cross multiply
    564,940.53x = 847,412.19 × 138,478.28
  4. Step 4: Simplify right side
    564,940.53x = 117,348,178,285.17
  5. Step 5: Solve for x
    x = 117,348,178,285.17/564,940.53
  6. Step 6: Final answer
    x = 207,717.75

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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.