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Finding the Fourth Proportional to 312,170.47, 430,795.25 and 168,930.52

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Solution

The fourth proportional to 312,170.47, 430,795.25 and 168,930.52 is: 233,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,170.47 : 430,795.25 = 168,930.52 : x
  2. Step 2: Convert to fraction form
    312,170.47/430,795.25 = 168,930.52/x
  3. Step 3: Cross multiply
    312,170.47x = 430,795.25 × 168,930.52
  4. Step 4: Simplify right side
    312,170.47x = 72,774,463,442.05
  5. Step 5: Solve for x
    x = 72,774,463,442.05/312,170.47
  6. Step 6: Final answer
    x = 233,124.11

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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.