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Finding the Fourth Proportional to 256,322.93, 384,490.67 and 78,831.27

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Solution

The fourth proportional to 256,322.93, 384,490.67 and 78,831.27 is: 118,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,322.93 : 384,490.67 = 78,831.27 : x
  2. Step 2: Convert to fraction form
    256,322.93/384,490.67 = 78,831.27/x
  3. Step 3: Cross multiply
    256,322.93x = 384,490.67 × 78,831.27
  4. Step 4: Simplify right side
    256,322.93x = 30,309,887,425.09
  5. Step 5: Solve for x
    x = 30,309,887,425.09/256,322.93
  6. Step 6: Final answer
    x = 118,248.84

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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.