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Finding the Fourth Proportional to 567,376.60, 782,965.86 and 312,722.20

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Solution

The fourth proportional to 567,376.60, 782,965.86 and 312,722.20 is: 431,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,376.60 : 782,965.86 = 312,722.20 : x
  2. Step 2: Convert to fraction form
    567,376.60/782,965.86 = 312,722.20/x
  3. Step 3: Cross multiply
    567,376.60x = 782,965.86 × 312,722.20
  4. Step 4: Simplify right side
    567,376.60x = 244,850,806,264.09
  5. Step 5: Solve for x
    x = 244,850,806,264.09/567,376.60
  6. Step 6: Final answer
    x = 431,549.00

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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.