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Finding the Fourth Proportional to 230,433.89, 317,726.75 and 157,871.57

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Solution

The fourth proportional to 230,433.89, 317,726.75 and 157,871.57 is: 217,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,433.89 : 317,726.75 = 157,871.57 : x
  2. Step 2: Convert to fraction form
    230,433.89/317,726.75 = 157,871.57/x
  3. Step 3: Cross multiply
    230,433.89x = 317,726.75 × 157,871.57
  4. Step 4: Simplify right side
    230,433.89x = 50,160,019,659.54
  5. Step 5: Solve for x
    x = 50,160,019,659.54/230,433.89
  6. Step 6: Final answer
    x = 217,676.40

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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.