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Finding the Fourth Proportional to 256,406.86, 384,646.74 and 78,928.66

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Solution

The fourth proportional to 256,406.86, 384,646.74 and 78,928.66 is: 118,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406.86 : 384,646.74 = 78,928.66 : x
  2. Step 2: Convert to fraction form
    256,406.86/384,646.74 = 78,928.66/x
  3. Step 3: Cross multiply
    256,406.86x = 384,646.74 × 78,928.66
  4. Step 4: Simplify right side
    256,406.86x = 30,359,651,761.57
  5. Step 5: Solve for x
    x = 30,359,651,761.57/256,406.86
  6. Step 6: Final answer
    x = 118,404.21

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1.5x scale

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.