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Finding the Fourth Proportional to 313,869.20, 470,189.40 and 188,838.80

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Solution

The fourth proportional to 313,869.20, 470,189.40 and 188,838.80 is: 282,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,869.20 : 470,189.40 = 188,838.80 : x
  2. Step 2: Convert to fraction form
    313,869.20/470,189.40 = 188,838.80/x
  3. Step 3: Cross multiply
    313,869.20x = 470,189.40 × 188,838.80
  4. Step 4: Simplify right side
    313,869.20x = 88,790,002,068.72
  5. Step 5: Solve for x
    x = 88,790,002,068.72/313,869.20
  6. Step 6: Final answer
    x = 282,888.55

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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.