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Finding the Fourth Proportional to 409,128.16, 613,788.80 and 128,645.42

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Solution

The fourth proportional to 409,128.16, 613,788.80 and 128,645.42 is: 192,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,128.16 : 613,788.80 = 128,645.42 : x
  2. Step 2: Convert to fraction form
    409,128.16/613,788.80 = 128,645.42/x
  3. Step 3: Cross multiply
    409,128.16x = 613,788.80 × 128,645.42
  4. Step 4: Simplify right side
    409,128.16x = 78,961,117,967.30
  5. Step 5: Solve for x
    x = 78,961,117,967.30/409,128.16
  6. Step 6: Final answer
    x = 192,998.49

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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.