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Finding the Fourth Proportional to 384,859.74, 576,780.78 and 278,598.80

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Solution

The fourth proportional to 384,859.74, 576,780.78 and 278,598.80 is: 417,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,859.74 : 576,780.78 = 278,598.80 : x
  2. Step 2: Convert to fraction form
    384,859.74/576,780.78 = 278,598.80/x
  3. Step 3: Cross multiply
    384,859.74x = 576,780.78 × 278,598.80
  4. Step 4: Simplify right side
    384,859.74x = 160,690,433,171.06
  5. Step 5: Solve for x
    x = 160,690,433,171.06/384,859.74
  6. Step 6: Final answer
    x = 417,529.86

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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.