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Finding the Fourth Proportional to 381,124.98, 525,948.88 and 209,039.44

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Solution

The fourth proportional to 381,124.98, 525,948.88 and 209,039.44 is: 288,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,124.98 : 525,948.88 = 209,039.44 : x
  2. Step 2: Convert to fraction form
    381,124.98/525,948.88 = 209,039.44/x
  3. Step 3: Cross multiply
    381,124.98x = 525,948.88 × 209,039.44
  4. Step 4: Simplify right side
    381,124.98x = 109,944,060,523.86
  5. Step 5: Solve for x
    x = 109,944,060,523.86/381,124.98
  6. Step 6: Final answer
    x = 288,472.46

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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.