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Finding the Fourth Proportional to 313,801.36, 470,732.84 and 89,172.16

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Solution

The fourth proportional to 313,801.36, 470,732.84 and 89,172.16 is: 133,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,801.36 : 470,732.84 = 89,172.16 : x
  2. Step 2: Convert to fraction form
    313,801.36/470,732.84 = 89,172.16/x
  3. Step 3: Cross multiply
    313,801.36x = 470,732.84 × 89,172.16
  4. Step 4: Simplify right side
    313,801.36x = 41,976,264,125.73
  5. Step 5: Solve for x
    x = 41,976,264,125.73/313,801.36
  6. Step 6: Final answer
    x = 133,766.99

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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.