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Finding the Fourth Proportional to 578,412.80, 866,467.20 and 509,139.20

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Solution

The fourth proportional to 578,412.80, 866,467.20 and 509,139.20 is: 762,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,412.80 : 866,467.20 = 509,139.20 : x
  2. Step 2: Convert to fraction form
    578,412.80/866,467.20 = 509,139.20/x
  3. Step 3: Cross multiply
    578,412.80x = 866,467.20 × 509,139.20
  4. Step 4: Simplify right side
    578,412.80x = 441,152,417,034.24
  5. Step 5: Solve for x
    x = 441,152,417,034.24/578,412.80
  6. Step 6: Final answer
    x = 762,694.77

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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.