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Finding the Fourth Proportional to 313,801.79, 470,438.16 and 136,175.01

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Solution

The fourth proportional to 313,801.79, 470,438.16 and 136,175.01 is: 204,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,801.79 : 470,438.16 = 136,175.01 : x
  2. Step 2: Convert to fraction form
    313,801.79/470,438.16 = 136,175.01/x
  3. Step 3: Cross multiply
    313,801.79x = 470,438.16 × 136,175.01
  4. Step 4: Simplify right side
    313,801.79x = 64,061,921,142.38
  5. Step 5: Solve for x
    x = 64,061,921,142.38/313,801.79
  6. Step 6: Final answer
    x = 204,147.73

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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.