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Finding the Fourth Proportional to 313,209.23, 432,229.86 and 169,969.23

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Solution

The fourth proportional to 313,209.23, 432,229.86 and 169,969.23 is: 234,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,209.23 : 432,229.86 = 169,969.23 : x
  2. Step 2: Convert to fraction form
    313,209.23/432,229.86 = 169,969.23/x
  3. Step 3: Cross multiply
    313,209.23x = 432,229.86 × 169,969.23
  4. Step 4: Simplify right side
    313,209.23x = 73,465,776,487.21
  5. Step 5: Solve for x
    x = 73,465,776,487.21/313,209.23
  6. Step 6: Final answer
    x = 234,558.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.