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Finding the Fourth Proportional to 381,424.95, 526,373.13 and 209,359.02

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Solution

The fourth proportional to 381,424.95, 526,373.13 and 209,359.02 is: 288,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,424.95 : 526,373.13 = 209,359.02 : x
  2. Step 2: Convert to fraction form
    381,424.95/526,373.13 = 209,359.02/x
  3. Step 3: Cross multiply
    381,424.95x = 526,373.13 × 209,359.02
  4. Step 4: Simplify right side
    381,424.95x = 110,200,962,651.13
  5. Step 5: Solve for x
    x = 110,200,962,651.13/381,424.95
  6. Step 6: Final answer
    x = 288,919.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.