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Finding the Fourth Proportional to 230,408.20, 317,964.72 and 128,440.12

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Solution

The fourth proportional to 230,408.20, 317,964.72 and 128,440.12 is: 177,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,408.20 : 317,964.72 = 128,440.12 : x
  2. Step 2: Convert to fraction form
    230,408.20/317,964.72 = 128,440.12/x
  3. Step 3: Cross multiply
    230,408.20x = 317,964.72 × 128,440.12
  4. Step 4: Simplify right side
    230,408.20x = 40,839,426,792.57
  5. Step 5: Solve for x
    x = 40,839,426,792.57/230,408.20
  6. Step 6: Final answer
    x = 177,248.15

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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.