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Finding the Fourth Proportional to 381,125.96, 525,954.57 and 209,045.32

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Solution

The fourth proportional to 381,125.96, 525,954.57 and 209,045.32 is: 288,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,125.96 : 525,954.57 = 209,045.32 : x
  2. Step 2: Convert to fraction form
    381,125.96/525,954.57 = 209,045.32/x
  3. Step 3: Cross multiply
    381,125.96x = 525,954.57 × 209,045.32
  4. Step 4: Simplify right side
    381,125.96x = 109,948,339,292.31
  5. Step 5: Solve for x
    x = 109,948,339,292.31/381,125.96
  6. Step 6: Final answer
    x = 288,482.95

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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.