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Finding the Fourth Proportional to 256,470.48, 384,565.86 and 78,930.36

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Solution

The fourth proportional to 256,470.48, 384,565.86 and 78,930.36 is: 118,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,470.48 : 384,565.86 = 78,930.36 : x
  2. Step 2: Convert to fraction form
    256,470.48/384,565.86 = 78,930.36/x
  3. Step 3: Cross multiply
    256,470.48x = 384,565.86 × 78,930.36
  4. Step 4: Simplify right side
    256,470.48x = 30,353,921,773.51
  5. Step 5: Solve for x
    x = 30,353,921,773.51/256,470.48
  6. Step 6: Final answer
    x = 118,352.50

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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.