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Finding the Fourth Proportional to 230,744.40, 318,426.96 and 130,142.40

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Solution

The fourth proportional to 230,744.40, 318,426.96 and 130,142.40 is: 179,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,744.40 : 318,426.96 = 130,142.40 : x
  2. Step 2: Convert to fraction form
    230,744.40/318,426.96 = 130,142.40/x
  3. Step 3: Cross multiply
    230,744.40x = 318,426.96 × 130,142.40
  4. Step 4: Simplify right side
    230,744.40x = 41,440,848,799.10
  5. Step 5: Solve for x
    x = 41,440,848,799.10/230,744.40
  6. Step 6: Final answer
    x = 179,596.34

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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.