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Finding the Fourth Proportional to 409,024.80, 613,556.40 and 128,551.20

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Solution

The fourth proportional to 409,024.80, 613,556.40 and 128,551.20 is: 192,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,024.80 : 613,556.40 = 128,551.20 : x
  2. Step 2: Convert to fraction form
    409,024.80/613,556.40 = 128,551.20/x
  3. Step 3: Cross multiply
    409,024.80x = 613,556.40 × 128,551.20
  4. Step 4: Simplify right side
    409,024.80x = 78,873,411,487.68
  5. Step 5: Solve for x
    x = 78,873,411,487.68/409,024.80
  6. Step 6: Final answer
    x = 192,832.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.