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Finding the Fourth Proportional to 312,143.50, 430,757.92 and 168,903.50

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Solution

The fourth proportional to 312,143.50, 430,757.92 and 168,903.50 is: 233,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,143.50 : 430,757.92 = 168,903.50 : x
  2. Step 2: Convert to fraction form
    312,143.50/430,757.92 = 168,903.50/x
  3. Step 3: Cross multiply
    312,143.50x = 430,757.92 × 168,903.50
  4. Step 4: Simplify right side
    312,143.50x = 72,756,520,340.72
  5. Step 5: Solve for x
    x = 72,756,520,340.72/312,143.50
  6. Step 6: Final answer
    x = 233,086.77

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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.