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Finding the Fourth Proportional to 398,764.04, 550,298.68 and 217,474.48

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Solution

The fourth proportional to 398,764.04, 550,298.68 and 217,474.48 is: 300,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,764.04 : 550,298.68 = 217,474.48 : x
  2. Step 2: Convert to fraction form
    398,764.04/550,298.68 = 217,474.48/x
  3. Step 3: Cross multiply
    398,764.04x = 550,298.68 × 217,474.48
  4. Step 4: Simplify right side
    398,764.04x = 119,675,919,277.69
  5. Step 5: Solve for x
    x = 119,675,919,277.69/398,764.04
  6. Step 6: Final answer
    x = 300,117.13

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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.