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Finding the Fourth Proportional to 310,601.70, 465,902.55 and 142,121.70

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Solution

The fourth proportional to 310,601.70, 465,902.55 and 142,121.70 is: 213,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,601.70 : 465,902.55 = 142,121.70 : x
  2. Step 2: Convert to fraction form
    310,601.70/465,902.55 = 142,121.70/x
  3. Step 3: Cross multiply
    310,601.70x = 465,902.55 × 142,121.70
  4. Step 4: Simplify right side
    310,601.70x = 66,214,862,440.34
  5. Step 5: Solve for x
    x = 66,214,862,440.34/310,601.70
  6. Step 6: Final answer
    x = 213,182.55

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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.