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Finding the Fourth Proportional to 419,369.18, 578,725.49 and 228,385.76

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Solution

The fourth proportional to 419,369.18, 578,725.49 and 228,385.76 is: 315,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,369.18 : 578,725.49 = 228,385.76 : x
  2. Step 2: Convert to fraction form
    419,369.18/578,725.49 = 228,385.76/x
  3. Step 3: Cross multiply
    419,369.18x = 578,725.49 × 228,385.76
  4. Step 4: Simplify right side
    419,369.18x = 132,172,659,723.09
  5. Step 5: Solve for x
    x = 132,172,659,723.09/419,369.18
  6. Step 6: Final answer
    x = 315,170.18

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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.