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Finding the Fourth Proportional to 385,578.82, 532,101.45 and 224,527.78

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Solution

The fourth proportional to 385,578.82, 532,101.45 and 224,527.78 is: 309,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,578.82 : 532,101.45 = 224,527.78 : x
  2. Step 2: Convert to fraction form
    385,578.82/532,101.45 = 224,527.78/x
  3. Step 3: Cross multiply
    385,578.82x = 532,101.45 × 224,527.78
  4. Step 4: Simplify right side
    385,578.82x = 119,471,557,303.28
  5. Step 5: Solve for x
    x = 119,471,557,303.28/385,578.82
  6. Step 6: Final answer
    x = 309,849.90

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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.