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Finding the Fourth Proportional to 398,854.08, 598,289.58 and 162,033.54

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Solution

The fourth proportional to 398,854.08, 598,289.58 and 162,033.54 is: 243,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,854.08 : 598,289.58 = 162,033.54 : x
  2. Step 2: Convert to fraction form
    398,854.08/598,289.58 = 162,033.54/x
  3. Step 3: Cross multiply
    398,854.08x = 598,289.58 × 162,033.54
  4. Step 4: Simplify right side
    398,854.08x = 96,942,978,592.51
  5. Step 5: Solve for x
    x = 96,942,978,592.51/398,854.08
  6. Step 6: Final answer
    x = 243,053.75

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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.