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Finding the Fourth Proportional to 253,218.78, 349,448.04 and 138,508.20

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Solution

The fourth proportional to 253,218.78, 349,448.04 and 138,508.20 is: 191,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,218.78 : 349,448.04 = 138,508.20 : x
  2. Step 2: Convert to fraction form
    253,218.78/349,448.04 = 138,508.20/x
  3. Step 3: Cross multiply
    253,218.78x = 349,448.04 × 138,508.20
  4. Step 4: Simplify right side
    253,218.78x = 48,401,419,013.93
  5. Step 5: Solve for x
    x = 48,401,419,013.93/253,218.78
  6. Step 6: Final answer
    x = 191,144.67

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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.