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Finding the Fourth Proportional to 379,017.61, 523,042.84 and 209,250.52

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Solution

The fourth proportional to 379,017.61, 523,042.84 and 209,250.52 is: 288,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,017.61 : 523,042.84 = 209,250.52 : x
  2. Step 2: Convert to fraction form
    379,017.61/523,042.84 = 209,250.52/x
  3. Step 3: Cross multiply
    379,017.61x = 523,042.84 × 209,250.52
  4. Step 4: Simplify right side
    379,017.61x = 109,446,986,252.28
  5. Step 5: Solve for x
    x = 109,446,986,252.28/379,017.61
  6. Step 6: Final answer
    x = 288,764.91

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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.