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Finding the Fourth Proportional to 400,831.35, 601,247.10 and 101,312.79

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Solution

The fourth proportional to 400,831.35, 601,247.10 and 101,312.79 is: 151,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,831.35 : 601,247.10 = 101,312.79 : x
  2. Step 2: Convert to fraction form
    400,831.35/601,247.10 = 101,312.79/x
  3. Step 3: Cross multiply
    400,831.35x = 601,247.10 × 101,312.79
  4. Step 4: Simplify right side
    400,831.35x = 60,914,021,180.41
  5. Step 5: Solve for x
    x = 60,914,021,180.41/400,831.35
  6. Step 6: Final answer
    x = 151,969.20

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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.