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Finding the Fourth Proportional to 911,472.96, 1,367,212.80 and 280,382.40

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Solution

The fourth proportional to 911,472.96, 1,367,212.80 and 280,382.40 is: 420,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,472.96 : 1,367,212.80 = 280,382.40 : x
  2. Step 2: Convert to fraction form
    911,472.96/1,367,212.80 = 280,382.40/x
  3. Step 3: Cross multiply
    911,472.96x = 1,367,212.80 × 280,382.40
  4. Step 4: Simplify right side
    911,472.96x = 383,342,406,174.72
  5. Step 5: Solve for x
    x = 383,342,406,174.72/911,472.96
  6. Step 6: Final answer
    x = 420,574.63

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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.