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Finding the Fourth Proportional to 253,398.48, 349,697.16 and 140,231.76

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Solution

The fourth proportional to 253,398.48, 349,697.16 and 140,231.76 is: 193,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,398.48 : 349,697.16 = 140,231.76 : x
  2. Step 2: Convert to fraction form
    253,398.48/349,697.16 = 140,231.76/x
  3. Step 3: Cross multiply
    253,398.48x = 349,697.16 × 140,231.76
  4. Step 4: Simplify right side
    253,398.48x = 49,038,648,213.80
  5. Step 5: Solve for x
    x = 49,038,648,213.80/253,398.48
  6. Step 6: Final answer
    x = 193,523.85

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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.