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Finding the Fourth Proportional to 458,939.70, 688,142.25 and 178,128.90

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Solution

The fourth proportional to 458,939.70, 688,142.25 and 178,128.90 is: 267,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,939.70 : 688,142.25 = 178,128.90 : x
  2. Step 2: Convert to fraction form
    458,939.70/688,142.25 = 178,128.90/x
  3. Step 3: Cross multiply
    458,939.70x = 688,142.25 × 178,128.90
  4. Step 4: Simplify right side
    458,939.70x = 122,578,022,036.03
  5. Step 5: Solve for x
    x = 122,578,022,036.03/458,939.70
  6. Step 6: Final answer
    x = 267,089.60

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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.