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Finding the Fourth Proportional to 567,458.85, 783,098.54 and 312,819.15

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Solution

The fourth proportional to 567,458.85, 783,098.54 and 312,819.15 is: 431,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,458.85 : 783,098.54 = 312,819.15 : x
  2. Step 2: Convert to fraction form
    567,458.85/783,098.54 = 312,819.15/x
  3. Step 3: Cross multiply
    567,458.85x = 783,098.54 × 312,819.15
  4. Step 4: Simplify right side
    567,458.85x = 244,968,218,084.95
  5. Step 5: Solve for x
    x = 244,968,218,084.95/567,458.85
  6. Step 6: Final answer
    x = 431,693.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.