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Finding the Fourth Proportional to 312,144.54, 430,759.62 and 168,904.14

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Solution

The fourth proportional to 312,144.54, 430,759.62 and 168,904.14 is: 233,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,144.54 : 430,759.62 = 168,904.14 : x
  2. Step 2: Convert to fraction form
    312,144.54/430,759.62 = 168,904.14/x
  3. Step 3: Cross multiply
    312,144.54x = 430,759.62 × 168,904.14
  4. Step 4: Simplify right side
    312,144.54x = 72,757,083,162.83
  5. Step 5: Solve for x
    x = 72,757,083,162.83/312,144.54
  6. Step 6: Final answer
    x = 233,087.80

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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.