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Finding the Fourth Proportional to 385,452.10, 577,845.68 and 185,497.42

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Solution

The fourth proportional to 385,452.10, 577,845.68 and 185,497.42 is: 278,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,452.10 : 577,845.68 = 185,497.42 : x
  2. Step 2: Convert to fraction form
    385,452.10/577,845.68 = 185,497.42/x
  3. Step 3: Cross multiply
    385,452.10x = 577,845.68 × 185,497.42
  4. Step 4: Simplify right side
    385,452.10x = 107,188,882,798.15
  5. Step 5: Solve for x
    x = 107,188,882,798.15/385,452.10
  6. Step 6: Final answer
    x = 278,086.13

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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.