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Finding the Fourth Proportional to 385,665.78, 532,218.78 and 234,762.78

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Solution

The fourth proportional to 385,665.78, 532,218.78 and 234,762.78 is: 323,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,665.78 : 532,218.78 = 234,762.78 : x
  2. Step 2: Convert to fraction form
    385,665.78/532,218.78 = 234,762.78/x
  3. Step 3: Cross multiply
    385,665.78x = 532,218.78 × 234,762.78
  4. Step 4: Simplify right side
    385,665.78x = 124,945,160,361.01
  5. Step 5: Solve for x
    x = 124,945,160,361.01/385,665.78
  6. Step 6: Final answer
    x = 323,972.64

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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.