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Finding the Fourth Proportional to 256,731.83, 385,188.97 and 114,564.17

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Solution

The fourth proportional to 256,731.83, 385,188.97 and 114,564.17 is: 171,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,731.83 : 385,188.97 = 114,564.17 : x
  2. Step 2: Convert to fraction form
    256,731.83/385,188.97 = 114,564.17/x
  3. Step 3: Cross multiply
    256,731.83x = 385,188.97 × 114,564.17
  4. Step 4: Simplify right side
    256,731.83x = 44,128,855,532.57
  5. Step 5: Solve for x
    x = 44,128,855,532.57/256,731.83
  6. Step 6: Final answer
    x = 171,886.97

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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.