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Finding the Fourth Proportional to 402,705.41, 603,680.85 and 136,279.40

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Solution

The fourth proportional to 402,705.41, 603,680.85 and 136,279.40 is: 204,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,705.41 : 603,680.85 = 136,279.40 : x
  2. Step 2: Convert to fraction form
    402,705.41/603,680.85 = 136,279.40/x
  3. Step 3: Cross multiply
    402,705.41x = 603,680.85 × 136,279.40
  4. Step 4: Simplify right side
    402,705.41x = 82,269,261,011.09
  5. Step 5: Solve for x
    x = 82,269,261,011.09/402,705.41
  6. Step 6: Final answer
    x = 204,291.42

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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.