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Finding the Fourth Proportional to 381,028, 571,498.08 and 100,567.12

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Solution

The fourth proportional to 381,028, 571,498.08 and 100,567.12 is: 150,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,028 : 571,498.08 = 100,567.12 : x
  2. Step 2: Convert to fraction form
    381,028/571,498.08 = 100,567.12/x
  3. Step 3: Cross multiply
    381,028x = 571,498.08 × 100,567.12
  4. Step 4: Simplify right side
    381,028x = 57,473,915,991.13
  5. Step 5: Solve for x
    x = 57,473,915,991.13/381,028
  6. Step 6: Final answer
    x = 150,839.09

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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.