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Finding the Fourth Proportional to 384,615.90, 576,923.85 and 278,327.70

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Solution

The fourth proportional to 384,615.90, 576,923.85 and 278,327.70 is: 417,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,615.90 : 576,923.85 = 278,327.70 : x
  2. Step 2: Convert to fraction form
    384,615.90/576,923.85 = 278,327.70/x
  3. Step 3: Cross multiply
    384,615.90x = 576,923.85 × 278,327.70
  4. Step 4: Simplify right side
    384,615.90x = 160,573,888,245.65
  5. Step 5: Solve for x
    x = 160,573,888,245.65/384,615.90
  6. Step 6: Final answer
    x = 417,491.55

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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.