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Finding the Fourth Proportional to 489,380.65, 733,833.64 and 287,042.88

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Solution

The fourth proportional to 489,380.65, 733,833.64 and 287,042.88 is: 430,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,380.65 : 733,833.64 = 287,042.88 : x
  2. Step 2: Convert to fraction form
    489,380.65/733,833.64 = 287,042.88/x
  3. Step 3: Cross multiply
    489,380.65x = 733,833.64 × 287,042.88
  4. Step 4: Simplify right side
    489,380.65x = 210,641,721,466.48
  5. Step 5: Solve for x
    x = 210,641,721,466.48/489,380.65
  6. Step 6: Final answer
    x = 430,425.11

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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.