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Finding the Fourth Proportional to 210,279.80, 315,419.70 and 199,911.80

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Solution

The fourth proportional to 210,279.80, 315,419.70 and 199,911.80 is: 299,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,279.80 : 315,419.70 = 199,911.80 : x
  2. Step 2: Convert to fraction form
    210,279.80/315,419.70 = 199,911.80/x
  3. Step 3: Cross multiply
    210,279.80x = 315,419.70 × 199,911.80
  4. Step 4: Simplify right side
    210,279.80x = 63,056,119,982.46
  5. Step 5: Solve for x
    x = 63,056,119,982.46/210,279.80
  6. Step 6: Final answer
    x = 299,867.70

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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.