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Finding the Fourth Proportional to 577,680.80, 865,798.20 and 278,081.12

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Solution

The fourth proportional to 577,680.80, 865,798.20 and 278,081.12 is: 416,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,680.80 : 865,798.20 = 278,081.12 : x
  2. Step 2: Convert to fraction form
    577,680.80/865,798.20 = 278,081.12/x
  3. Step 3: Cross multiply
    577,680.80x = 865,798.20 × 278,081.12
  4. Step 4: Simplify right side
    577,680.80x = 240,762,133,149.98
  5. Step 5: Solve for x
    x = 240,762,133,149.98/577,680.80
  6. Step 6: Final answer
    x = 416,773.65

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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.