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Finding the Fourth Proportional to 381,124.72, 525,948.53 and 209,039.19

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Solution

The fourth proportional to 381,124.72, 525,948.53 and 209,039.19 is: 288,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,124.72 : 525,948.53 = 209,039.19 : x
  2. Step 2: Convert to fraction form
    381,124.72/525,948.53 = 209,039.19/x
  3. Step 3: Cross multiply
    381,124.72x = 525,948.53 × 209,039.19
  4. Step 4: Simplify right side
    381,124.72x = 109,943,854,692.89
  5. Step 5: Solve for x
    x = 109,943,854,692.89/381,124.72
  6. Step 6: Final answer
    x = 288,472.12

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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.