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Finding the Fourth Proportional to 381,008.40, 571,468.77 and 100,547.52

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Solution

The fourth proportional to 381,008.40, 571,468.77 and 100,547.52 is: 150,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,008.40 : 571,468.77 = 100,547.52 : x
  2. Step 2: Convert to fraction form
    381,008.40/571,468.77 = 100,547.52/x
  3. Step 3: Cross multiply
    381,008.40x = 571,468.77 × 100,547.52
  4. Step 4: Simplify right side
    381,008.40x = 57,459,767,580.95
  5. Step 5: Solve for x
    x = 57,459,767,580.95/381,008.40
  6. Step 6: Final answer
    x = 150,809.71

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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.