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Finding the Fourth Proportional to 228,474.53, 342,783.49 and 137,394.76

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Solution

The fourth proportional to 228,474.53, 342,783.49 and 137,394.76 is: 206,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,474.53 : 342,783.49 = 137,394.76 : x
  2. Step 2: Convert to fraction form
    228,474.53/342,783.49 = 137,394.76/x
  3. Step 3: Cross multiply
    228,474.53x = 342,783.49 × 137,394.76
  4. Step 4: Simplify right side
    228,474.53x = 47,096,655,340.51
  5. Step 5: Solve for x
    x = 47,096,655,340.51/228,474.53
  6. Step 6: Final answer
    x = 206,135.25

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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.