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Finding the Fourth Proportional to 312,705.60, 469,288.80 and 125,851.20

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Solution

The fourth proportional to 312,705.60, 469,288.80 and 125,851.20 is: 188,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,705.60 : 469,288.80 = 125,851.20 : x
  2. Step 2: Convert to fraction form
    312,705.60/469,288.80 = 125,851.20/x
  3. Step 3: Cross multiply
    312,705.60x = 469,288.80 × 125,851.20
  4. Step 4: Simplify right side
    312,705.60x = 59,060,558,626.56
  5. Step 5: Solve for x
    x = 59,060,558,626.56/312,705.60
  6. Step 6: Final answer
    x = 188,869.53

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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.