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Finding the Fourth Proportional to 238,290, 357,215.96 and 103,269.41

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Solution

The fourth proportional to 238,290, 357,215.96 and 103,269.41 is: 154,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,290 : 357,215.96 = 103,269.41 : x
  2. Step 2: Convert to fraction form
    238,290/357,215.96 = 103,269.41/x
  3. Step 3: Cross multiply
    238,290x = 357,215.96 × 103,269.41
  4. Step 4: Simplify right side
    238,290x = 36,889,481,431.78
  5. Step 5: Solve for x
    x = 36,889,481,431.78/238,290
  6. Step 6: Final answer
    x = 154,809.19

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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.