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Finding the Fourth Proportional to 312,680.16, 469,013.76 and 76,024.08

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Solution

The fourth proportional to 312,680.16, 469,013.76 and 76,024.08 is: 114,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,680.16 : 469,013.76 = 76,024.08 : x
  2. Step 2: Convert to fraction form
    312,680.16/469,013.76 = 76,024.08/x
  3. Step 3: Cross multiply
    312,680.16x = 469,013.76 × 76,024.08
  4. Step 4: Simplify right side
    312,680.16x = 35,656,339,611.34
  5. Step 5: Solve for x
    x = 35,656,339,611.34/312,680.16
  6. Step 6: Final answer
    x = 114,034.54

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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.