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Finding the Fourth Proportional to 398,831.21, 598,359.86 and 162,343.61

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Solution

The fourth proportional to 398,831.21, 598,359.86 and 162,343.61 is: 243,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,831.21 : 598,359.86 = 162,343.61 : x
  2. Step 2: Convert to fraction form
    398,831.21/598,359.86 = 162,343.61/x
  3. Step 3: Cross multiply
    398,831.21x = 598,359.86 × 162,343.61
  4. Step 4: Simplify right side
    398,831.21x = 97,139,899,751.49
  5. Step 5: Solve for x
    x = 97,139,899,751.49/398,831.21
  6. Step 6: Final answer
    x = 243,561.43

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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.