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Finding the Fourth Proportional to 278,971.81, 418,497.14 and 89,387.85

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Solution

The fourth proportional to 278,971.81, 418,497.14 and 89,387.85 is: 134,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,971.81 : 418,497.14 = 89,387.85 : x
  2. Step 2: Convert to fraction form
    278,971.81/418,497.14 = 89,387.85/x
  3. Step 3: Cross multiply
    278,971.81x = 418,497.14 × 89,387.85
  4. Step 4: Simplify right side
    278,971.81x = 37,408,559,575.75
  5. Step 5: Solve for x
    x = 37,408,559,575.75/278,971.81
  6. Step 6: Final answer
    x = 134,094.41

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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.