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Finding the Fourth Proportional to 567,418, 783,042.12 and 312,778.30

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Solution

The fourth proportional to 567,418, 783,042.12 and 312,778.30 is: 431,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,418 : 783,042.12 = 312,778.30 : x
  2. Step 2: Convert to fraction form
    567,418/783,042.12 = 312,778.30/x
  3. Step 3: Cross multiply
    567,418x = 783,042.12 × 312,778.30
  4. Step 4: Simplify right side
    567,418x = 244,918,583,122.00
  5. Step 5: Solve for x
    x = 244,918,583,122.00/567,418
  6. Step 6: Final answer
    x = 431,636.96

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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.