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Finding the Fourth Proportional to 312,097.86, 430,693.92 and 168,858

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Solution

The fourth proportional to 312,097.86, 430,693.92 and 168,858 is: 233,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097.86 : 430,693.92 = 168,858 : x
  2. Step 2: Convert to fraction form
    312,097.86/430,693.92 = 168,858/x
  3. Step 3: Cross multiply
    312,097.86x = 430,693.92 × 168,858
  4. Step 4: Simplify right side
    312,097.86x = 72,726,113,943.36
  5. Step 5: Solve for x
    x = 72,726,113,943.36/312,097.86
  6. Step 6: Final answer
    x = 233,023.43

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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.