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Finding the Fourth Proportional to 315,096.70, 472,213.05 and 202,431.10

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Solution

The fourth proportional to 315,096.70, 472,213.05 and 202,431.10 is: 303,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.70 : 472,213.05 = 202,431.10 : x
  2. Step 2: Convert to fraction form
    315,096.70/472,213.05 = 202,431.10/x
  3. Step 3: Cross multiply
    315,096.70x = 472,213.05 × 202,431.10
  4. Step 4: Simplify right side
    315,096.70x = 95,590,607,145.86
  5. Step 5: Solve for x
    x = 95,590,607,145.86/315,096.70
  6. Step 6: Final answer
    x = 303,369.12

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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.