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Finding the Fourth Proportional to 256,615.65, 384,945 and 94,553.82

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Solution

The fourth proportional to 256,615.65, 384,945 and 94,553.82 is: 141,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,615.65 : 384,945 = 94,553.82 : x
  2. Step 2: Convert to fraction form
    256,615.65/384,945 = 94,553.82/x
  3. Step 3: Cross multiply
    256,615.65x = 384,945 × 94,553.82
  4. Step 4: Simplify right side
    256,615.65x = 36,398,020,239.90
  5. Step 5: Solve for x
    x = 36,398,020,239.90/256,615.65
  6. Step 6: Final answer
    x = 141,838.66

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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.