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Finding the Fourth Proportional to 381,139.75, 525,969.20 and 209,054.15

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Solution

The fourth proportional to 381,139.75, 525,969.20 and 209,054.15 is: 288,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,139.75 : 525,969.20 = 209,054.15 : x
  2. Step 2: Convert to fraction form
    381,139.75/525,969.20 = 209,054.15/x
  3. Step 3: Cross multiply
    381,139.75x = 525,969.20 × 209,054.15
  4. Step 4: Simplify right side
    381,139.75x = 109,956,040,357.06
  5. Step 5: Solve for x
    x = 109,956,040,357.06/381,139.75
  6. Step 6: Final answer
    x = 288,492.72

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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.