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Finding the Fourth Proportional to 347,240, 520,912 and 125,675.84

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Solution

The fourth proportional to 347,240, 520,912 and 125,675.84 is: 188,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,240 : 520,912 = 125,675.84 : x
  2. Step 2: Convert to fraction form
    347,240/520,912 = 125,675.84/x
  3. Step 3: Cross multiply
    347,240x = 520,912 × 125,675.84
  4. Step 4: Simplify right side
    347,240x = 65,466,053,166.08
  5. Step 5: Solve for x
    x = 65,466,053,166.08/347,240
  6. Step 6: Final answer
    x = 188,532.58

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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.