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Finding the Fourth Proportional to 230,496.84, 345,540.06 and 90,353.16

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Solution

The fourth proportional to 230,496.84, 345,540.06 and 90,353.16 is: 135,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,496.84 : 345,540.06 = 90,353.16 : x
  2. Step 2: Convert to fraction form
    230,496.84/345,540.06 = 90,353.16/x
  3. Step 3: Cross multiply
    230,496.84x = 345,540.06 × 90,353.16
  4. Step 4: Simplify right side
    230,496.84x = 31,220,636,327.59
  5. Step 5: Solve for x
    x = 31,220,636,327.59/230,496.84
  6. Step 6: Final answer
    x = 135,449.30

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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.