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Finding the Fourth Proportional to 315,087.70, 472,199.55 and 202,422.10

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Solution

The fourth proportional to 315,087.70, 472,199.55 and 202,422.10 is: 303,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,087.70 : 472,199.55 = 202,422.10 : x
  2. Step 2: Convert to fraction form
    315,087.70/472,199.55 = 202,422.10/x
  3. Step 3: Cross multiply
    315,087.70x = 472,199.55 × 202,422.10
  4. Step 4: Simplify right side
    315,087.70x = 95,583,624,530.06
  5. Step 5: Solve for x
    x = 95,583,624,530.06/315,087.70
  6. Step 6: Final answer
    x = 303,355.62

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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.