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Finding the Fourth Proportional to 381,302.82, 571,808.56 and 128,515.40

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Solution

The fourth proportional to 381,302.82, 571,808.56 and 128,515.40 is: 192,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,302.82 : 571,808.56 = 128,515.40 : x
  2. Step 2: Convert to fraction form
    381,302.82/571,808.56 = 128,515.40/x
  3. Step 3: Cross multiply
    381,302.82x = 571,808.56 × 128,515.40
  4. Step 4: Simplify right side
    381,302.82x = 73,486,205,811.82
  5. Step 5: Solve for x
    x = 73,486,205,811.82/381,302.82
  6. Step 6: Final answer
    x = 192,724.00

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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.