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Finding the Fourth Proportional to 312,062.52, 430,645.89 and 168,822.12

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Solution

The fourth proportional to 312,062.52, 430,645.89 and 168,822.12 is: 232,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,062.52 : 430,645.89 = 168,822.12 : x
  2. Step 2: Convert to fraction form
    312,062.52/430,645.89 = 168,822.12/x
  3. Step 3: Cross multiply
    312,062.52x = 430,645.89 × 168,822.12
  4. Step 4: Simplify right side
    312,062.52x = 72,702,552,119.09
  5. Step 5: Solve for x
    x = 72,702,552,119.09/312,062.52
  6. Step 6: Final answer
    x = 232,974.32

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1.5x scale

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.