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Finding the Fourth Proportional to 385,909.31, 532,571.36 and 224,738.35

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Solution

The fourth proportional to 385,909.31, 532,571.36 and 224,738.35 is: 310,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,909.31 : 532,571.36 = 224,738.35 : x
  2. Step 2: Convert to fraction form
    385,909.31/532,571.36 = 224,738.35/x
  3. Step 3: Cross multiply
    385,909.31x = 532,571.36 × 224,738.35
  4. Step 4: Simplify right side
    385,909.31x = 119,689,206,248.54
  5. Step 5: Solve for x
    x = 119,689,206,248.54/385,909.31
  6. Step 6: Final answer
    x = 310,148.53

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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.