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Finding the Fourth Proportional to 385,663.78, 532,216.02 and 234,760.78

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Solution

The fourth proportional to 385,663.78, 532,216.02 and 234,760.78 is: 323,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,663.78 : 532,216.02 = 234,760.78 : x
  2. Step 2: Convert to fraction form
    385,663.78/532,216.02 = 234,760.78/x
  3. Step 3: Cross multiply
    385,663.78x = 532,216.02 × 234,760.78
  4. Step 4: Simplify right side
    385,663.78x = 124,943,448,208.79
  5. Step 5: Solve for x
    x = 124,943,448,208.79/385,663.78
  6. Step 6: Final answer
    x = 323,969.88

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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.