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Finding the Fourth Proportional to 256,831.86, 384,995.04 and 150,080.34

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Solution

The fourth proportional to 256,831.86, 384,995.04 and 150,080.34 is: 224,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,831.86 : 384,995.04 = 150,080.34 : x
  2. Step 2: Convert to fraction form
    256,831.86/384,995.04 = 150,080.34/x
  3. Step 3: Cross multiply
    256,831.86x = 384,995.04 × 150,080.34
  4. Step 4: Simplify right side
    256,831.86x = 57,780,186,501.51
  5. Step 5: Solve for x
    x = 57,780,186,501.51/256,831.86
  6. Step 6: Final answer
    x = 224,972.81

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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.