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Finding the Fourth Proportional to 488,562.30, 732,879.90 and 172,978.20

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Solution

The fourth proportional to 488,562.30, 732,879.90 and 172,978.20 is: 259,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,562.30 : 732,879.90 = 172,978.20 : x
  2. Step 2: Convert to fraction form
    488,562.30/732,879.90 = 172,978.20/x
  3. Step 3: Cross multiply
    488,562.30x = 732,879.90 × 172,978.20
  4. Step 4: Simplify right side
    488,562.30x = 126,772,245,918.18
  5. Step 5: Solve for x
    x = 126,772,245,918.18/488,562.30
  6. Step 6: Final answer
    x = 259,480.21

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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.