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Finding the Fourth Proportional to 298,408, 447,612 and 88,042.90

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Solution

The fourth proportional to 298,408, 447,612 and 88,042.90 is: 132,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,408 : 447,612 = 88,042.90 : x
  2. Step 2: Convert to fraction form
    298,408/447,612 = 88,042.90/x
  3. Step 3: Cross multiply
    298,408x = 447,612 × 88,042.90
  4. Step 4: Simplify right side
    298,408x = 39,409,058,554.80
  5. Step 5: Solve for x
    x = 39,409,058,554.80/298,408
  6. Step 6: Final answer
    x = 132,064.35

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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.