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Finding the Fourth Proportional to 228,637.80, 342,956.70 and 148,921.65

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Solution

The fourth proportional to 228,637.80, 342,956.70 and 148,921.65 is: 223,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,637.80 : 342,956.70 = 148,921.65 : x
  2. Step 2: Convert to fraction form
    228,637.80/342,956.70 = 148,921.65/x
  3. Step 3: Cross multiply
    228,637.80x = 342,956.70 × 148,921.65
  4. Step 4: Simplify right side
    228,637.80x = 51,073,677,642.56
  5. Step 5: Solve for x
    x = 51,073,677,642.56/228,637.80
  6. Step 6: Final answer
    x = 223,382.48

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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.