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Finding the Fourth Proportional to 547,282.74, 820,924.11 and 398,470.03

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Solution

The fourth proportional to 547,282.74, 820,924.11 and 398,470.03 is: 597,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,282.74 : 820,924.11 = 398,470.03 : x
  2. Step 2: Convert to fraction form
    547,282.74/820,924.11 = 398,470.03/x
  3. Step 3: Cross multiply
    547,282.74x = 820,924.11 × 398,470.03
  4. Step 4: Simplify right side
    547,282.74x = 327,113,657,024.62
  5. Step 5: Solve for x
    x = 327,113,657,024.62/547,282.74
  6. Step 6: Final answer
    x = 597,705.05

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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.