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Finding the Fourth Proportional to 458,879.90, 688,317.11 and 178,397.15

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Solution

The fourth proportional to 458,879.90, 688,317.11 and 178,397.15 is: 267,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,879.90 : 688,317.11 = 178,397.15 : x
  2. Step 2: Convert to fraction form
    458,879.90/688,317.11 = 178,397.15/x
  3. Step 3: Cross multiply
    458,879.90x = 688,317.11 × 178,397.15
  4. Step 4: Simplify right side
    458,879.90x = 122,793,806,386.67
  5. Step 5: Solve for x
    x = 122,793,806,386.67/458,879.90
  6. Step 6: Final answer
    x = 267,594.65

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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.