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Finding the Fourth Proportional to 255,326.41, 383,328.87 and 218,125.54

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Solution

The fourth proportional to 255,326.41, 383,328.87 and 218,125.54 is: 327,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,326.41 : 383,328.87 = 218,125.54 : x
  2. Step 2: Convert to fraction form
    255,326.41/383,328.87 = 218,125.54/x
  3. Step 3: Cross multiply
    255,326.41x = 383,328.87 × 218,125.54
  4. Step 4: Simplify right side
    255,326.41x = 83,613,816,766.34
  5. Step 5: Solve for x
    x = 83,613,816,766.34/255,326.41
  6. Step 6: Final answer
    x = 327,478.14

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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.