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Finding the Fourth Proportional to 313,999.20, 471,072.30 and 103,636.93

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Solution

The fourth proportional to 313,999.20, 471,072.30 and 103,636.93 is: 155,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,999.20 : 471,072.30 = 103,636.93 : x
  2. Step 2: Convert to fraction form
    313,999.20/471,072.30 = 103,636.93/x
  3. Step 3: Cross multiply
    313,999.20x = 471,072.30 × 103,636.93
  4. Step 4: Simplify right side
    313,999.20x = 48,820,486,980.04
  5. Step 5: Solve for x
    x = 48,820,486,980.04/313,999.20
  6. Step 6: Final answer
    x = 155,479.65

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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.