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Finding the Fourth Proportional to 392,602.52, 541,653.51 and 256,716

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Solution

The fourth proportional to 392,602.52, 541,653.51 and 256,716 is: 354,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,602.52 : 541,653.51 = 256,716 : x
  2. Step 2: Convert to fraction form
    392,602.52/541,653.51 = 256,716/x
  3. Step 3: Cross multiply
    392,602.52x = 541,653.51 × 256,716
  4. Step 4: Simplify right side
    392,602.52x = 139,051,122,473.16
  5. Step 5: Solve for x
    x = 139,051,122,473.16/392,602.52
  6. Step 6: Final answer
    x = 354,177.87

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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.