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Finding the Fourth Proportional to 405,311.80, 607,910.10 and 124,857.40

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Solution

The fourth proportional to 405,311.80, 607,910.10 and 124,857.40 is: 187,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,311.80 : 607,910.10 = 124,857.40 : x
  2. Step 2: Convert to fraction form
    405,311.80/607,910.10 = 124,857.40/x
  3. Step 3: Cross multiply
    405,311.80x = 607,910.10 × 124,857.40
  4. Step 4: Simplify right side
    405,311.80x = 75,902,074,519.74
  5. Step 5: Solve for x
    x = 75,902,074,519.74/405,311.80
  6. Step 6: Final answer
    x = 187,268.36

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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.