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Finding the Fourth Proportional to 333,780.56, 500,701.56 and 109,142.16

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Solution

The fourth proportional to 333,780.56, 500,701.56 and 109,142.16 is: 163,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,780.56 : 500,701.56 = 109,142.16 : x
  2. Step 2: Convert to fraction form
    333,780.56/500,701.56 = 109,142.16/x
  3. Step 3: Cross multiply
    333,780.56x = 500,701.56 × 109,142.16
  4. Step 4: Simplify right side
    333,780.56x = 54,647,649,773.77
  5. Step 5: Solve for x
    x = 54,647,649,773.77/333,780.56
  6. Step 6: Final answer
    x = 163,723.29

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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.