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Finding the Fourth Proportional to 402,694.23, 603,665.64 and 136,269.39

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Solution

The fourth proportional to 402,694.23, 603,665.64 and 136,269.39 is: 204,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,694.23 : 603,665.64 = 136,269.39 : x
  2. Step 2: Convert to fraction form
    402,694.23/603,665.64 = 136,269.39/x
  3. Step 3: Cross multiply
    402,694.23x = 603,665.64 × 136,269.39
  4. Step 4: Simplify right side
    402,694.23x = 82,261,148,526.76
  5. Step 5: Solve for x
    x = 82,261,148,526.76/402,694.23
  6. Step 6: Final answer
    x = 204,276.95

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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.