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Finding the Fourth Proportional to 313,038.46, 431,981.40 and 169,793.74

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Solution

The fourth proportional to 313,038.46, 431,981.40 and 169,793.74 is: 234,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,038.46 : 431,981.40 = 169,793.74 : x
  2. Step 2: Convert to fraction form
    313,038.46/431,981.40 = 169,793.74/x
  3. Step 3: Cross multiply
    313,038.46x = 431,981.40 × 169,793.74
  4. Step 4: Simplify right side
    313,038.46x = 73,347,737,516.44
  5. Step 5: Solve for x
    x = 73,347,737,516.44/313,038.46
  6. Step 6: Final answer
    x = 234,309.03

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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.