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Finding the Fourth Proportional to 457,337.75, 686,240.81 and 217,722.74

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Solution

The fourth proportional to 457,337.75, 686,240.81 and 217,722.74 is: 326,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,337.75 : 686,240.81 = 217,722.74 : x
  2. Step 2: Convert to fraction form
    457,337.75/686,240.81 = 217,722.74/x
  3. Step 3: Cross multiply
    457,337.75x = 686,240.81 × 217,722.74
  4. Step 4: Simplify right side
    457,337.75x = 149,410,225,749.66
  5. Step 5: Solve for x
    x = 149,410,225,749.66/457,337.75
  6. Step 6: Final answer
    x = 326,695.59

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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.