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Finding the Fourth Proportional to 402,211.40, 603,657.30 and 165,723.80

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Solution

The fourth proportional to 402,211.40, 603,657.30 and 165,723.80 is: 248,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,211.40 : 603,657.30 = 165,723.80 : x
  2. Step 2: Convert to fraction form
    402,211.40/603,657.30 = 165,723.80/x
  3. Step 3: Cross multiply
    402,211.40x = 603,657.30 × 165,723.80
  4. Step 4: Simplify right side
    402,211.40x = 100,040,381,653.74
  5. Step 5: Solve for x
    x = 100,040,381,653.74/402,211.40
  6. Step 6: Final answer
    x = 248,725.87

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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.