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Finding the Fourth Proportional to 381,353.85, 571,672.62 and 128,457.36

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Solution

The fourth proportional to 381,353.85, 571,672.62 and 128,457.36 is: 192,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,353.85 : 571,672.62 = 128,457.36 : x
  2. Step 2: Convert to fraction form
    381,353.85/571,672.62 = 128,457.36/x
  3. Step 3: Cross multiply
    381,353.85x = 571,672.62 × 128,457.36
  4. Step 4: Simplify right side
    381,353.85x = 73,435,555,549.48
  5. Step 5: Solve for x
    x = 73,435,555,549.48/381,353.85
  6. Step 6: Final answer
    x = 192,565.40

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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.