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Finding the Fourth Proportional to 547,284.74, 820,927.11 and 398,472.03

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Solution

The fourth proportional to 547,284.74, 820,927.11 and 398,472.03 is: 597,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,284.74 : 820,927.11 = 398,472.03 : x
  2. Step 2: Convert to fraction form
    547,284.74/820,927.11 = 398,472.03/x
  3. Step 3: Cross multiply
    547,284.74x = 820,927.11 × 398,472.03
  4. Step 4: Simplify right side
    547,284.74x = 327,116,492,003.73
  5. Step 5: Solve for x
    x = 327,116,492,003.73/547,284.74
  6. Step 6: Final answer
    x = 597,708.05

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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.