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Finding the Fourth Proportional to 256,281.30, 384,428.03 and 78,789.92

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Solution

The fourth proportional to 256,281.30, 384,428.03 and 78,789.92 is: 118,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,281.30 : 384,428.03 = 78,789.92 : x
  2. Step 2: Convert to fraction form
    256,281.30/384,428.03 = 78,789.92/x
  3. Step 3: Cross multiply
    256,281.30x = 384,428.03 × 78,789.92
  4. Step 4: Simplify right side
    256,281.30x = 30,289,051,413.37
  5. Step 5: Solve for x
    x = 30,289,051,413.37/256,281.30
  6. Step 6: Final answer
    x = 118,186.74

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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.