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Finding the Fourth Proportional to 379,444.52, 523,644 and 209,689.58

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Solution

The fourth proportional to 379,444.52, 523,644 and 209,689.58 is: 289,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,444.52 : 523,644 = 209,689.58 : x
  2. Step 2: Convert to fraction form
    379,444.52/523,644 = 209,689.58/x
  3. Step 3: Cross multiply
    379,444.52x = 523,644 × 209,689.58
  4. Step 4: Simplify right side
    379,444.52x = 109,802,690,429.52
  5. Step 5: Solve for x
    x = 109,802,690,429.52/379,444.52
  6. Step 6: Final answer
    x = 289,377.46

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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.