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Finding the Fourth Proportional to 512,876.40, 707,520.60 and 361,641.84

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Solution

The fourth proportional to 512,876.40, 707,520.60 and 361,641.84 is: 498,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,876.40 : 707,520.60 = 361,641.84 : x
  2. Step 2: Convert to fraction form
    512,876.40/707,520.60 = 361,641.84/x
  3. Step 3: Cross multiply
    512,876.40x = 707,520.60 × 361,641.84
  4. Step 4: Simplify right side
    512,876.40x = 255,869,051,621.90
  5. Step 5: Solve for x
    x = 255,869,051,621.90/512,876.40
  6. Step 6: Final answer
    x = 498,890.28

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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.