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Finding the Fourth Proportional to 381,572.76, 572,921.28 and 213,422.52

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Solution

The fourth proportional to 381,572.76, 572,921.28 and 213,422.52 is: 320,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,572.76 : 572,921.28 = 213,422.52 : x
  2. Step 2: Convert to fraction form
    381,572.76/572,921.28 = 213,422.52/x
  3. Step 3: Cross multiply
    381,572.76x = 572,921.28 × 213,422.52
  4. Step 4: Simplify right side
    381,572.76x = 122,274,303,339.23
  5. Step 5: Solve for x
    x = 122,274,303,339.23/381,572.76
  6. Step 6: Final answer
    x = 320,448.20

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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.