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Finding the Fourth Proportional to 555,213.82, 766,195.32 and 300,565

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Solution

The fourth proportional to 555,213.82, 766,195.32 and 300,565 is: 414,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,213.82 : 766,195.32 = 300,565 : x
  2. Step 2: Convert to fraction form
    555,213.82/766,195.32 = 300,565/x
  3. Step 3: Cross multiply
    555,213.82x = 766,195.32 × 300,565
  4. Step 4: Simplify right side
    555,213.82x = 230,291,496,355.80
  5. Step 5: Solve for x
    x = 230,291,496,355.80/555,213.82
  6. Step 6: Final answer
    x = 414,779.83

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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.