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Finding the Fourth Proportional to 419,184, 578,472.96 and 228,198.72

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Solution

The fourth proportional to 419,184, 578,472.96 and 228,198.72 is: 314,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,184 : 578,472.96 = 228,198.72 : x
  2. Step 2: Convert to fraction form
    419,184/578,472.96 = 228,198.72/x
  3. Step 3: Cross multiply
    419,184x = 578,472.96 × 228,198.72
  4. Step 4: Simplify right side
    419,184x = 132,006,789,026.61
  5. Step 5: Solve for x
    x = 132,006,789,026.61/419,184
  6. Step 6: Final answer
    x = 314,913.71

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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.