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Finding the Fourth Proportional to 256,426.22, 384,655.74 and 98,654.70

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Solution

The fourth proportional to 256,426.22, 384,655.74 and 98,654.70 is: 147,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,426.22 : 384,655.74 = 98,654.70 : x
  2. Step 2: Convert to fraction form
    256,426.22/384,655.74 = 98,654.70/x
  3. Step 3: Cross multiply
    256,426.22x = 384,655.74 × 98,654.70
  4. Step 4: Simplify right side
    256,426.22x = 37,948,096,632.98
  5. Step 5: Solve for x
    x = 37,948,096,632.98/256,426.22
  6. Step 6: Final answer
    x = 147,988.36

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1.5x scale

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.