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Finding the Fourth Proportional to 493,876.80, 740,815.20 and 442,555.20

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Solution

The fourth proportional to 493,876.80, 740,815.20 and 442,555.20 is: 663,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,876.80 : 740,815.20 = 442,555.20 : x
  2. Step 2: Convert to fraction form
    493,876.80/740,815.20 = 442,555.20/x
  3. Step 3: Cross multiply
    493,876.80x = 740,815.20 × 442,555.20
  4. Step 4: Simplify right side
    493,876.80x = 327,851,618,999.04
  5. Step 5: Solve for x
    x = 327,851,618,999.04/493,876.80
  6. Step 6: Final answer
    x = 663,832.80

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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.