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Finding the Fourth Proportional to 546,874.20, 820,311.30 and 472,078.80

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Solution

The fourth proportional to 546,874.20, 820,311.30 and 472,078.80 is: 708,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,874.20 : 820,311.30 = 472,078.80 : x
  2. Step 2: Convert to fraction form
    546,874.20/820,311.30 = 472,078.80/x
  3. Step 3: Cross multiply
    546,874.20x = 820,311.30 × 472,078.80
  4. Step 4: Simplify right side
    546,874.20x = 387,251,574,130.44
  5. Step 5: Solve for x
    x = 387,251,574,130.44/546,874.20
  6. Step 6: Final answer
    x = 708,118.20

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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.