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Finding the Fourth Proportional to 253,575.50, 349,945.13 and 140,398.25

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Solution

The fourth proportional to 253,575.50, 349,945.13 and 140,398.25 is: 193,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,575.50 : 349,945.13 = 140,398.25 : x
  2. Step 2: Convert to fraction form
    253,575.50/349,945.13 = 140,398.25/x
  3. Step 3: Cross multiply
    253,575.50x = 349,945.13 × 140,398.25
  4. Step 4: Simplify right side
    253,575.50x = 49,131,683,146.03
  5. Step 5: Solve for x
    x = 49,131,683,146.03/253,575.50
  6. Step 6: Final answer
    x = 193,755.64

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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.