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Finding the Fourth Proportional to 398,709.01, 598,179.36 and 128,831.51

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Solution

The fourth proportional to 398,709.01, 598,179.36 and 128,831.51 is: 193,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,709.01 : 598,179.36 = 128,831.51 : x
  2. Step 2: Convert to fraction form
    398,709.01/598,179.36 = 128,831.51/x
  3. Step 3: Cross multiply
    398,709.01x = 598,179.36 × 128,831.51
  4. Step 4: Simplify right side
    398,709.01x = 77,064,348,813.44
  5. Step 5: Solve for x
    x = 77,064,348,813.44/398,709.01
  6. Step 6: Final answer
    x = 193,284.69

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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.