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Finding the Fourth Proportional to 458,881.90, 688,320.10 and 178,399.15

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Solution

The fourth proportional to 458,881.90, 688,320.10 and 178,399.15 is: 267,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,881.90 : 688,320.10 = 178,399.15 : x
  2. Step 2: Convert to fraction form
    458,881.90/688,320.10 = 178,399.15/x
  3. Step 3: Cross multiply
    458,881.90x = 688,320.10 × 178,399.15
  4. Step 4: Simplify right side
    458,881.90x = 122,795,720,767.92
  5. Step 5: Solve for x
    x = 122,795,720,767.92/458,881.90
  6. Step 6: Final answer
    x = 267,597.66

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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.