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Finding the Fourth Proportional to 398,662.51, 597,993.78 and 162,023.66

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Solution

The fourth proportional to 398,662.51, 597,993.78 and 162,023.66 is: 243,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,662.51 : 597,993.78 = 162,023.66 : x
  2. Step 2: Convert to fraction form
    398,662.51/597,993.78 = 162,023.66/x
  3. Step 3: Cross multiply
    398,662.51x = 597,993.78 × 162,023.66
  4. Step 4: Simplify right side
    398,662.51x = 96,889,140,892.83
  5. Step 5: Solve for x
    x = 96,889,140,892.83/398,662.51
  6. Step 6: Final answer
    x = 243,035.50

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1.5x scale

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.