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Finding the Fourth Proportional to 294,770.16, 442,153.80 and 84,408

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Solution

The fourth proportional to 294,770.16, 442,153.80 and 84,408 is: 126,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,770.16 : 442,153.80 = 84,408 : x
  2. Step 2: Convert to fraction form
    294,770.16/442,153.80 = 84,408/x
  3. Step 3: Cross multiply
    294,770.16x = 442,153.80 × 84,408
  4. Step 4: Simplify right side
    294,770.16x = 37,321,317,950.40
  5. Step 5: Solve for x
    x = 37,321,317,950.40/294,770.16
  6. Step 6: Final answer
    x = 126,611.59

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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.