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Finding the Fourth Proportional to 472,092.88, 708,756.60 and 280,317.28

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Solution

The fourth proportional to 472,092.88, 708,756.60 and 280,317.28 is: 420,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,092.88 : 708,756.60 = 280,317.28 : x
  2. Step 2: Convert to fraction form
    472,092.88/708,756.60 = 280,317.28/x
  3. Step 3: Cross multiply
    472,092.88x = 708,756.60 × 280,317.28
  4. Step 4: Simplify right side
    472,092.88x = 198,676,722,294.05
  5. Step 5: Solve for x
    x = 198,676,722,294.05/472,092.88
  6. Step 6: Final answer
    x = 420,842.45

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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.