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Finding the Fourth Proportional to 457,814.34, 686,491.74 and 217,856.70

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Solution

The fourth proportional to 457,814.34, 686,491.74 and 217,856.70 is: 326,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,814.34 : 686,491.74 = 217,856.70 : x
  2. Step 2: Convert to fraction form
    457,814.34/686,491.74 = 217,856.70/x
  3. Step 3: Cross multiply
    457,814.34x = 686,491.74 × 217,856.70
  4. Step 4: Simplify right side
    457,814.34x = 149,556,825,053.66
  5. Step 5: Solve for x
    x = 149,556,825,053.66/457,814.34
  6. Step 6: Final answer
    x = 326,675.71

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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.