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Finding the Fourth Proportional to 402,591.75, 603,908.01 and 103,074.81

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Solution

The fourth proportional to 402,591.75, 603,908.01 and 103,074.81 is: 154,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,591.75 : 603,908.01 = 103,074.81 : x
  2. Step 2: Convert to fraction form
    402,591.75/603,908.01 = 103,074.81/x
  3. Step 3: Cross multiply
    402,591.75x = 603,908.01 × 103,074.81
  4. Step 4: Simplify right side
    402,591.75x = 62,247,703,388.23
  5. Step 5: Solve for x
    x = 62,247,703,388.23/402,591.75
  6. Step 6: Final answer
    x = 154,617.43

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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.