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Finding the Fourth Proportional to 256,988.70, 385,498.17 and 99,217.98

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Solution

The fourth proportional to 256,988.70, 385,498.17 and 99,217.98 is: 148,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,988.70 : 385,498.17 = 99,217.98 : x
  2. Step 2: Convert to fraction form
    256,988.70/385,498.17 = 99,217.98/x
  3. Step 3: Cross multiply
    256,988.70x = 385,498.17 × 99,217.98
  4. Step 4: Simplify right side
    256,988.70x = 38,248,349,721.10
  5. Step 5: Solve for x
    x = 38,248,349,721.10/256,988.70
  6. Step 6: Final answer
    x = 148,832.81

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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.