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Finding the Fourth Proportional to 256,595.57, 384,781.98 and 98,713.20

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Solution

The fourth proportional to 256,595.57, 384,781.98 and 98,713.20 is: 148,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,595.57 : 384,781.98 = 98,713.20 : x
  2. Step 2: Convert to fraction form
    256,595.57/384,781.98 = 98,713.20/x
  3. Step 3: Cross multiply
    256,595.57x = 384,781.98 × 98,713.20
  4. Step 4: Simplify right side
    256,595.57x = 37,983,060,548.14
  5. Step 5: Solve for x
    x = 37,983,060,548.14/256,595.57
  6. Step 6: Final answer
    x = 148,026.95

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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.