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Finding the Fourth Proportional to 312,647.76, 469,059.12 and 125,790.48

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Solution

The fourth proportional to 312,647.76, 469,059.12 and 125,790.48 is: 188,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,647.76 : 469,059.12 = 125,790.48 : x
  2. Step 2: Convert to fraction form
    312,647.76/469,059.12 = 125,790.48/x
  3. Step 3: Cross multiply
    312,647.76x = 469,059.12 × 125,790.48
  4. Step 4: Simplify right side
    312,647.76x = 59,003,171,853.18
  5. Step 5: Solve for x
    x = 59,003,171,853.18/312,647.76
  6. Step 6: Final answer
    x = 188,720.92

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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.