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Finding the Fourth Proportional to 291,676.25, 402,513.50 and 157,540.25

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Solution

The fourth proportional to 291,676.25, 402,513.50 and 157,540.25 is: 217,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,676.25 : 402,513.50 = 157,540.25 : x
  2. Step 2: Convert to fraction form
    291,676.25/402,513.50 = 157,540.25/x
  3. Step 3: Cross multiply
    291,676.25x = 402,513.50 × 157,540.25
  4. Step 4: Simplify right side
    291,676.25x = 63,412,077,418.38
  5. Step 5: Solve for x
    x = 63,412,077,418.38/291,676.25
  6. Step 6: Final answer
    x = 217,405.69

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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.