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Finding the Fourth Proportional to 284,318.78, 392,040.02 and 232,474.12

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Solution

The fourth proportional to 284,318.78, 392,040.02 and 232,474.12 is: 320,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,318.78 : 392,040.02 = 232,474.12 : x
  2. Step 2: Convert to fraction form
    284,318.78/392,040.02 = 232,474.12/x
  3. Step 3: Cross multiply
    284,318.78x = 392,040.02 × 232,474.12
  4. Step 4: Simplify right side
    284,318.78x = 91,139,158,255.37
  5. Step 5: Solve for x
    x = 91,139,158,255.37/284,318.78
  6. Step 6: Final answer
    x = 320,552.73

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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.