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Finding the Fourth Proportional to 312,140.25, 430,753.55 and 178,004.25

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Solution

The fourth proportional to 312,140.25, 430,753.55 and 178,004.25 is: 245,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140.25 : 430,753.55 = 178,004.25 : x
  2. Step 2: Convert to fraction form
    312,140.25/430,753.55 = 178,004.25/x
  3. Step 3: Cross multiply
    312,140.25x = 430,753.55 × 178,004.25
  4. Step 4: Simplify right side
    312,140.25x = 76,675,961,712.57
  5. Step 5: Solve for x
    x = 76,675,961,712.57/312,140.25
  6. Step 6: Final answer
    x = 245,645.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.