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Finding the Fourth Proportional to 313,643.12, 470,463.96 and 136,127.12

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Solution

The fourth proportional to 313,643.12, 470,463.96 and 136,127.12 is: 204,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,643.12 : 470,463.96 = 136,127.12 : x
  2. Step 2: Convert to fraction form
    313,643.12/470,463.96 = 136,127.12/x
  3. Step 3: Cross multiply
    313,643.12x = 470,463.96 × 136,127.12
  4. Step 4: Simplify right side
    313,643.12x = 64,042,903,938.60
  5. Step 5: Solve for x
    x = 64,042,903,938.60/313,643.12
  6. Step 6: Final answer
    x = 204,190.37

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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.