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Finding the Fourth Proportional to 402,436.57, 603,617.95 and 136,166.59

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Solution

The fourth proportional to 402,436.57, 603,617.95 and 136,166.59 is: 204,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,436.57 : 603,617.95 = 136,166.59 : x
  2. Step 2: Convert to fraction form
    402,436.57/603,617.95 = 136,166.59/x
  3. Step 3: Cross multiply
    402,436.57x = 603,617.95 × 136,166.59
  4. Step 4: Simplify right side
    402,436.57x = 82,192,597,914.29
  5. Step 5: Solve for x
    x = 82,192,597,914.29/402,436.57
  6. Step 6: Final answer
    x = 204,237.40

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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.