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Finding the Fourth Proportional to 578,382.80, 866,422.20 and 509,109.20

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Solution

The fourth proportional to 578,382.80, 866,422.20 and 509,109.20 is: 762,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,382.80 : 866,422.20 = 509,109.20 : x
  2. Step 2: Convert to fraction form
    578,382.80/866,422.20 = 509,109.20/x
  3. Step 3: Cross multiply
    578,382.80x = 866,422.20 × 509,109.20
  4. Step 4: Simplify right side
    578,382.80x = 441,103,513,104.24
  5. Step 5: Solve for x
    x = 441,103,513,104.24/578,382.80
  6. Step 6: Final answer
    x = 762,649.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.