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Finding the Fourth Proportional to 385,123.60, 576,907.80 and 218,717.20

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Solution

The fourth proportional to 385,123.60, 576,907.80 and 218,717.20 is: 327,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,123.60 : 576,907.80 = 218,717.20 : x
  2. Step 2: Convert to fraction form
    385,123.60/576,907.80 = 218,717.20/x
  3. Step 3: Cross multiply
    385,123.60x = 576,907.80 × 218,717.20
  4. Step 4: Simplify right side
    385,123.60x = 126,179,658,674.16
  5. Step 5: Solve for x
    x = 126,179,658,674.16/385,123.60
  6. Step 6: Final answer
    x = 327,634.19

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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.