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Finding the Fourth Proportional to 547,809.60, 820,101.60 and 408,187.20

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Solution

The fourth proportional to 547,809.60, 820,101.60 and 408,187.20 is: 611,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,809.60 : 820,101.60 = 408,187.20 : x
  2. Step 2: Convert to fraction form
    547,809.60/820,101.60 = 408,187.20/x
  3. Step 3: Cross multiply
    547,809.60x = 820,101.60 × 408,187.20
  4. Step 4: Simplify right side
    547,809.60x = 334,754,975,819.52
  5. Step 5: Solve for x
    x = 334,754,975,819.52/547,809.60
  6. Step 6: Final answer
    x = 611,079.06

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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.