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Finding the Fourth Proportional to 408,780.15, 613,144.97 and 152,562.84

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Solution

The fourth proportional to 408,780.15, 613,144.97 and 152,562.84 is: 228,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,780.15 : 613,144.97 = 152,562.84 : x
  2. Step 2: Convert to fraction form
    408,780.15/613,144.97 = 152,562.84/x
  3. Step 3: Cross multiply
    408,780.15x = 613,144.97 × 152,562.84
  4. Step 4: Simplify right side
    408,780.15x = 93,543,137,954.91
  5. Step 5: Solve for x
    x = 93,543,137,954.91/408,780.15
  6. Step 6: Final answer
    x = 228,834.83

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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.