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Finding the Fourth Proportional to 209,593.94, 315,803.09 and 172,974.24

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Solution

The fourth proportional to 209,593.94, 315,803.09 and 172,974.24 is: 260,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,593.94 : 315,803.09 = 172,974.24 : x
  2. Step 2: Convert to fraction form
    209,593.94/315,803.09 = 172,974.24/x
  3. Step 3: Cross multiply
    209,593.94x = 315,803.09 × 172,974.24
  4. Step 4: Simplify right side
    209,593.94x = 54,625,799,914.84
  5. Step 5: Solve for x
    x = 54,625,799,914.84/209,593.94
  6. Step 6: Final answer
    x = 260,626.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.