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Finding the Fourth Proportional to 384,857.73, 576,777.78 and 278,596.80

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Solution

The fourth proportional to 384,857.73, 576,777.78 and 278,596.80 is: 417,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,857.73 : 576,777.78 = 278,596.80 : x
  2. Step 2: Convert to fraction form
    384,857.73/576,777.78 = 278,596.80/x
  3. Step 3: Cross multiply
    384,857.73x = 576,777.78 × 278,596.80
  4. Step 4: Simplify right side
    384,857.73x = 160,688,443,819.10
  5. Step 5: Solve for x
    x = 160,688,443,819.10/384,857.73
  6. Step 6: Final answer
    x = 417,526.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.