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Finding the Fourth Proportional to 489,381.65, 733,835.14 and 287,043.88

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Solution

The fourth proportional to 489,381.65, 733,835.14 and 287,043.88 is: 430,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,381.65 : 733,835.14 = 287,043.88 : x
  2. Step 2: Convert to fraction form
    489,381.65/733,835.14 = 287,043.88/x
  3. Step 3: Cross multiply
    489,381.65x = 733,835.14 × 287,043.88
  4. Step 4: Simplify right side
    489,381.65x = 210,642,885,865.94
  5. Step 5: Solve for x
    x = 210,642,885,865.94/489,381.65
  6. Step 6: Final answer
    x = 430,426.61

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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.