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Finding the Fourth Proportional to 458,880.90, 688,318.60 and 178,398.15

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Solution

The fourth proportional to 458,880.90, 688,318.60 and 178,398.15 is: 267,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,880.90 : 688,318.60 = 178,398.15 : x
  2. Step 2: Convert to fraction form
    458,880.90/688,318.60 = 178,398.15/x
  3. Step 3: Cross multiply
    458,880.90x = 688,318.60 × 178,398.15
  4. Step 4: Simplify right side
    458,880.90x = 122,794,764,850.59
  5. Step 5: Solve for x
    x = 122,794,764,850.59/458,880.90
  6. Step 6: Final answer
    x = 267,596.16

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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.