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Finding the Fourth Proportional to 567,211.12, 782,768.10 and 312,578.80

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Solution

The fourth proportional to 567,211.12, 782,768.10 and 312,578.80 is: 431,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,211.12 : 782,768.10 = 312,578.80 : x
  2. Step 2: Convert to fraction form
    567,211.12/782,768.10 = 312,578.80/x
  3. Step 3: Cross multiply
    567,211.12x = 782,768.10 × 312,578.80
  4. Step 4: Simplify right side
    567,211.12x = 244,676,713,376.28
  5. Step 5: Solve for x
    x = 244,676,713,376.28/567,211.12
  6. Step 6: Final answer
    x = 431,367.98

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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.