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Finding the Fourth Proportional to 385,253.42, 577,978.71 and 225,463.91

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Solution

The fourth proportional to 385,253.42, 577,978.71 and 225,463.91 is: 338,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,253.42 : 577,978.71 = 225,463.91 : x
  2. Step 2: Convert to fraction form
    385,253.42/577,978.71 = 225,463.91/x
  3. Step 3: Cross multiply
    385,253.42x = 577,978.71 × 225,463.91
  4. Step 4: Simplify right side
    385,253.42x = 130,313,336,117.97
  5. Step 5: Solve for x
    x = 130,313,336,117.97/385,253.42
  6. Step 6: Final answer
    x = 338,253.55

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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.