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Finding the Fourth Proportional to 256,871.40, 385,308.30 and 90,659.40

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Solution

The fourth proportional to 256,871.40, 385,308.30 and 90,659.40 is: 135,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,871.40 : 385,308.30 = 90,659.40 : x
  2. Step 2: Convert to fraction form
    256,871.40/385,308.30 = 90,659.40/x
  3. Step 3: Cross multiply
    256,871.40x = 385,308.30 × 90,659.40
  4. Step 4: Simplify right side
    256,871.40x = 34,931,819,293.02
  5. Step 5: Solve for x
    x = 34,931,819,293.02/256,871.40
  6. Step 6: Final answer
    x = 135,989.52

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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.