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Finding the Fourth Proportional to 488,292, 732,442.56 and 172,802.40

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Solution

The fourth proportional to 488,292, 732,442.56 and 172,802.40 is: 259,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,292 : 732,442.56 = 172,802.40 : x
  2. Step 2: Convert to fraction form
    488,292/732,442.56 = 172,802.40/x
  3. Step 3: Cross multiply
    488,292x = 732,442.56 × 172,802.40
  4. Step 4: Simplify right side
    488,292x = 126,567,832,230.14
  5. Step 5: Solve for x
    x = 126,567,832,230.14/488,292
  6. Step 6: Final answer
    x = 259,205.21

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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.