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Finding the Fourth Proportional to 313,998.20, 471,070.80 and 103,635.93

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Solution

The fourth proportional to 313,998.20, 471,070.80 and 103,635.93 is: 155,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,998.20 : 471,070.80 = 103,635.93 : x
  2. Step 2: Convert to fraction form
    313,998.20/471,070.80 = 103,635.93/x
  3. Step 3: Cross multiply
    313,998.20x = 471,070.80 × 103,635.93
  4. Step 4: Simplify right side
    313,998.20x = 48,819,860,453.84
  5. Step 5: Solve for x
    x = 48,819,860,453.84/313,998.20
  6. Step 6: Final answer
    x = 155,478.16

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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.