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Finding the Fourth Proportional to 256,901.64, 385,389.35 and 79,422.49

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Solution

The fourth proportional to 256,901.64, 385,389.35 and 79,422.49 is: 119,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,901.64 : 385,389.35 = 79,422.49 : x
  2. Step 2: Convert to fraction form
    256,901.64/385,389.35 = 79,422.49/x
  3. Step 3: Cross multiply
    256,901.64x = 385,389.35 × 79,422.49
  4. Step 4: Simplify right side
    256,901.64x = 30,608,581,796.48
  5. Step 5: Solve for x
    x = 30,608,581,796.48/256,901.64
  6. Step 6: Final answer
    x = 119,145.14

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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.