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Finding the Fourth Proportional to 256,553.20, 384,871.92 and 79,060.24

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Solution

The fourth proportional to 256,553.20, 384,871.92 and 79,060.24 is: 118,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553.20 : 384,871.92 = 79,060.24 : x
  2. Step 2: Convert to fraction form
    256,553.20/384,871.92 = 79,060.24/x
  3. Step 3: Cross multiply
    256,553.20x = 384,871.92 × 79,060.24
  4. Step 4: Simplify right side
    256,553.20x = 30,428,066,364.46
  5. Step 5: Solve for x
    x = 30,428,066,364.46/256,553.20
  6. Step 6: Final answer
    x = 118,603.34

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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.