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Finding the Fourth Proportional to 257,235.48, 385,162.02 and 209,655.54

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Solution

The fourth proportional to 257,235.48, 385,162.02 and 209,655.54 is: 313,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,235.48 : 385,162.02 = 209,655.54 : x
  2. Step 2: Convert to fraction form
    257,235.48/385,162.02 = 209,655.54/x
  3. Step 3: Cross multiply
    257,235.48x = 385,162.02 × 209,655.54
  4. Step 4: Simplify right side
    257,235.48x = 80,751,351,290.59
  5. Step 5: Solve for x
    x = 80,751,351,290.59/257,235.48
  6. Step 6: Final answer
    x = 313,919.96

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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.