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Finding the Fourth Proportional to 478,107.45, 717,078.06 and 178,590.60

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Solution

The fourth proportional to 478,107.45, 717,078.06 and 178,590.60 is: 267,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,107.45 : 717,078.06 = 178,590.60 : x
  2. Step 2: Convert to fraction form
    478,107.45/717,078.06 = 178,590.60/x
  3. Step 3: Cross multiply
    478,107.45x = 717,078.06 × 178,590.60
  4. Step 4: Simplify right side
    478,107.45x = 128,063,400,982.24
  5. Step 5: Solve for x
    x = 128,063,400,982.24/478,107.45
  6. Step 6: Final answer
    x = 267,854.85

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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.