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Finding the Fourth Proportional to 256,352.15, 384,529.16 and 78,857.93

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Solution

The fourth proportional to 256,352.15, 384,529.16 and 78,857.93 is: 118,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,352.15 : 384,529.16 = 78,857.93 : x
  2. Step 2: Convert to fraction form
    256,352.15/384,529.16 = 78,857.93/x
  3. Step 3: Cross multiply
    256,352.15x = 384,529.16 × 78,857.93
  4. Step 4: Simplify right side
    256,352.15x = 30,323,171,856.74
  5. Step 5: Solve for x
    x = 30,323,171,856.74/256,352.15
  6. Step 6: Final answer
    x = 118,287.18

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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.