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Finding the Fourth Proportional to 312,147, 430,759.62 and 168,903.90

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Solution

The fourth proportional to 312,147, 430,759.62 and 168,903.90 is: 233,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,147 : 430,759.62 = 168,903.90 : x
  2. Step 2: Convert to fraction form
    312,147/430,759.62 = 168,903.90/x
  3. Step 3: Cross multiply
    312,147x = 430,759.62 × 168,903.90
  4. Step 4: Simplify right side
    312,147x = 72,756,979,780.52
  5. Step 5: Solve for x
    x = 72,756,979,780.52/312,147
  6. Step 6: Final answer
    x = 233,085.63

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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.