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Finding the Fourth Proportional to 398,829.06, 550,384.10 and 217,540.98

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Solution

The fourth proportional to 398,829.06, 550,384.10 and 217,540.98 is: 300,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,829.06 : 550,384.10 = 217,540.98 : x
  2. Step 2: Convert to fraction form
    398,829.06/550,384.10 = 217,540.98/x
  3. Step 3: Cross multiply
    398,829.06x = 550,384.10 × 217,540.98
  4. Step 4: Simplify right side
    398,829.06x = 119,731,096,490.42
  5. Step 5: Solve for x
    x = 119,731,096,490.42/398,829.06
  6. Step 6: Final answer
    x = 300,206.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.