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Finding the Fourth Proportional to 766,408, 1,057,675.36 and 426,876.16

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Solution

The fourth proportional to 766,408, 1,057,675.36 and 426,876.16 is: 589,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,408 : 1,057,675.36 = 426,876.16 : x
  2. Step 2: Convert to fraction form
    766,408/1,057,675.36 = 426,876.16/x
  3. Step 3: Cross multiply
    766,408x = 1,057,675.36 × 426,876.16
  4. Step 4: Simplify right side
    766,408x = 451,496,396,203.42
  5. Step 5: Solve for x
    x = 451,496,396,203.42/766,408
  6. Step 6: Final answer
    x = 589,107.10

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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.