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Finding the Fourth Proportional to 256,605.71, 384,930.09 and 94,543.88

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Solution

The fourth proportional to 256,605.71, 384,930.09 and 94,543.88 is: 141,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,605.71 : 384,930.09 = 94,543.88 : x
  2. Step 2: Convert to fraction form
    256,605.71/384,930.09 = 94,543.88/x
  3. Step 3: Cross multiply
    256,605.71x = 384,930.09 × 94,543.88
  4. Step 4: Simplify right side
    256,605.71x = 36,392,782,312.70
  5. Step 5: Solve for x
    x = 36,392,782,312.70/256,605.71
  6. Step 6: Final answer
    x = 141,823.75

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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.