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Finding the Fourth Proportional to 385,869.76, 532,487.82 and 213,780.64

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Solution

The fourth proportional to 385,869.76, 532,487.82 and 213,780.64 is: 295,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,869.76 : 532,487.82 = 213,780.64 : x
  2. Step 2: Convert to fraction form
    385,869.76/532,487.82 = 213,780.64/x
  3. Step 3: Cross multiply
    385,869.76x = 532,487.82 × 213,780.64
  4. Step 4: Simplify right side
    385,869.76x = 113,835,586,951.81
  5. Step 5: Solve for x
    x = 113,835,586,951.81/385,869.76
  6. Step 6: Final answer
    x = 295,010.39

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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.