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Finding the Fourth Proportional to 313,243,513.80, 469,865,270.70 and 266,886,112.20

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Solution

The fourth proportional to 313,243,513.80, 469,865,270.70 and 266,886,112.20 is: 400,329,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,243,513.80 : 469,865,270.70 = 266,886,112.20 : x
  2. Step 2: Convert to fraction form
    313,243,513.80/469,865,270.70 = 266,886,112.20/x
  3. Step 3: Cross multiply
    313,243,513.80x = 469,865,270.70 × 266,886,112.20
  4. Step 4: Simplify right side
    313,243,513.80x = 125,400,515,354,923,568
  5. Step 5: Solve for x
    x = 125,400,515,354,923,568/313,243,513.80
  6. Step 6: Final answer
    x = 400,329,168.30

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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.