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Finding the Fourth Proportional to 567,375.60, 782,964.48 and 312,721.20

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Solution

The fourth proportional to 567,375.60, 782,964.48 and 312,721.20 is: 431,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,375.60 : 782,964.48 = 312,721.20 : x
  2. Step 2: Convert to fraction form
    567,375.60/782,964.48 = 312,721.20/x
  3. Step 3: Cross multiply
    567,375.60x = 782,964.48 × 312,721.20
  4. Step 4: Simplify right side
    567,375.60x = 244,849,591,742.98
  5. Step 5: Solve for x
    x = 244,849,591,742.98/567,375.60
  6. Step 6: Final answer
    x = 431,547.62

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1.5x scale

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.