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Finding the Fourth Proportional to 684,244, 944,285.88 and 382,438

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Solution

The fourth proportional to 684,244, 944,285.88 and 382,438 is: 527,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,244 : 944,285.88 = 382,438 : x
  2. Step 2: Convert to fraction form
    684,244/944,285.88 = 382,438/x
  3. Step 3: Cross multiply
    684,244x = 944,285.88 × 382,438
  4. Step 4: Simplify right side
    684,244x = 361,130,803,375.44
  5. Step 5: Solve for x
    x = 361,130,803,375.44/684,244
  6. Step 6: Final answer
    x = 527,780.74

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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.