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Finding the Fourth Proportional to 257,110.46, 385,518.02 and 137,019.56

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Solution

The fourth proportional to 257,110.46, 385,518.02 and 137,019.56 is: 205,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,110.46 : 385,518.02 = 137,019.56 : x
  2. Step 2: Convert to fraction form
    257,110.46/385,518.02 = 137,019.56/x
  3. Step 3: Cross multiply
    257,110.46x = 385,518.02 × 137,019.56
  4. Step 4: Simplify right side
    257,110.46x = 52,823,509,472.47
  5. Step 5: Solve for x
    x = 52,823,509,472.47/257,110.46
  6. Step 6: Final answer
    x = 205,450.64

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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.