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Finding the Fourth Proportional to 256,307.47, 384,471.68 and 87,943.57

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Solution

The fourth proportional to 256,307.47, 384,471.68 and 87,943.57 is: 131,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,307.47 : 384,471.68 = 87,943.57 : x
  2. Step 2: Convert to fraction form
    256,307.47/384,471.68 = 87,943.57/x
  3. Step 3: Cross multiply
    256,307.47x = 384,471.68 × 87,943.57
  4. Step 4: Simplify right side
    256,307.47x = 33,811,812,103.10
  5. Step 5: Solve for x
    x = 33,811,812,103.10/256,307.47
  6. Step 6: Final answer
    x = 131,918.95

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1.5x scale

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.