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Finding the Fourth Proportional to 398,660.51, 597,990.78 and 162,021.66

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Solution

The fourth proportional to 398,660.51, 597,990.78 and 162,021.66 is: 243,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,660.51 : 597,990.78 = 162,021.66 : x
  2. Step 2: Convert to fraction form
    398,660.51/597,990.78 = 162,021.66/x
  3. Step 3: Cross multiply
    398,660.51x = 597,990.78 × 162,021.66
  4. Step 4: Simplify right side
    398,660.51x = 96,887,458,840.29
  5. Step 5: Solve for x
    x = 96,887,458,840.29/398,660.51
  6. Step 6: Final answer
    x = 243,032.50

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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.