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Finding the Fourth Proportional to 313,781.12, 470,670.96 and 136,265.12

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Solution

The fourth proportional to 313,781.12, 470,670.96 and 136,265.12 is: 204,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,781.12 : 470,670.96 = 136,265.12 : x
  2. Step 2: Convert to fraction form
    313,781.12/470,670.96 = 136,265.12/x
  3. Step 3: Cross multiply
    313,781.12x = 470,670.96 × 136,265.12
  4. Step 4: Simplify right side
    313,781.12x = 64,136,034,844.92
  5. Step 5: Solve for x
    x = 64,136,034,844.92/313,781.12
  6. Step 6: Final answer
    x = 204,397.37

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1.5x scale

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.