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Finding the Fourth Proportional to 378,732.76, 522,650.80 and 208,966.88

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Solution

The fourth proportional to 378,732.76, 522,650.80 and 208,966.88 is: 288,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,732.76 : 522,650.80 = 208,966.88 : x
  2. Step 2: Convert to fraction form
    378,732.76/522,650.80 = 208,966.88/x
  3. Step 3: Cross multiply
    378,732.76x = 522,650.80 × 208,966.88
  4. Step 4: Simplify right side
    378,732.76x = 109,216,707,005.50
  5. Step 5: Solve for x
    x = 109,216,707,005.50/378,732.76
  6. Step 6: Final answer
    x = 288,374.07

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1.5x scale

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.