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Finding the Fourth Proportional to 398,707.78, 550,206.72 and 217,423.20

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Solution

The fourth proportional to 398,707.78, 550,206.72 and 217,423.20 is: 300,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,707.78 : 550,206.72 = 217,423.20 : x
  2. Step 2: Convert to fraction form
    398,707.78/550,206.72 = 217,423.20/x
  3. Step 3: Cross multiply
    398,707.78x = 550,206.72 × 217,423.20
  4. Step 4: Simplify right side
    398,707.78x = 119,627,705,723.90
  5. Step 5: Solve for x
    x = 119,627,705,723.90/398,707.78
  6. Step 6: Final answer
    x = 300,038.55

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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.