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Finding the Fourth Proportional to 442,041.40, 662,624.70 and 217,217.80

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Solution

The fourth proportional to 442,041.40, 662,624.70 and 217,217.80 is: 325,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,041.40 : 662,624.70 = 217,217.80 : x
  2. Step 2: Convert to fraction form
    442,041.40/662,624.70 = 217,217.80/x
  3. Step 3: Cross multiply
    442,041.40x = 662,624.70 × 217,217.80
  4. Step 4: Simplify right side
    442,041.40x = 143,933,879,559.66
  5. Step 5: Solve for x
    x = 143,933,879,559.66/442,041.40
  6. Step 6: Final answer
    x = 325,611.76

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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.