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Finding the Fourth Proportional to 268,779.82, 402,888.46 and 100,232.35

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Solution

The fourth proportional to 268,779.82, 402,888.46 and 100,232.35 is: 150,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,779.82 : 402,888.46 = 100,232.35 : x
  2. Step 2: Convert to fraction form
    268,779.82/402,888.46 = 100,232.35/x
  3. Step 3: Cross multiply
    268,779.82x = 402,888.46 × 100,232.35
  4. Step 4: Simplify right side
    268,779.82x = 40,382,455,073.71
  5. Step 5: Solve for x
    x = 40,382,455,073.71/268,779.82
  6. Step 6: Final answer
    x = 150,243.63

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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.