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Finding the Fourth Proportional to 493,510.80, 740,611.80 and 213,229.20

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Solution

The fourth proportional to 493,510.80, 740,611.80 and 213,229.20 is: 319,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,510.80 : 740,611.80 = 213,229.20 : x
  2. Step 2: Convert to fraction form
    493,510.80/740,611.80 = 213,229.20/x
  3. Step 3: Cross multiply
    493,510.80x = 740,611.80 × 213,229.20
  4. Step 4: Simplify right side
    493,510.80x = 157,920,061,624.56
  5. Step 5: Solve for x
    x = 157,920,061,624.56/493,510.80
  6. Step 6: Final answer
    x = 319,993.12

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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.