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Finding the Fourth Proportional to 398,223.60, 597,646.44 and 148,976.88

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Solution

The fourth proportional to 398,223.60, 597,646.44 and 148,976.88 is: 223,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,223.60 : 597,646.44 = 148,976.88 : x
  2. Step 2: Convert to fraction form
    398,223.60/597,646.44 = 148,976.88/x
  3. Step 3: Cross multiply
    398,223.60x = 597,646.44 × 148,976.88
  4. Step 4: Simplify right side
    398,223.60x = 89,035,501,974.31
  5. Step 5: Solve for x
    x = 89,035,501,974.31/398,223.60
  6. Step 6: Final answer
    x = 223,581.68

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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.