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Finding the Fourth Proportional to 442,844.80, 666,016.80 and 397,355.20

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Solution

The fourth proportional to 442,844.80, 666,016.80 and 397,355.20 is: 597,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,844.80 : 666,016.80 = 397,355.20 : x
  2. Step 2: Convert to fraction form
    442,844.80/666,016.80 = 397,355.20/x
  3. Step 3: Cross multiply
    442,844.80x = 666,016.80 × 397,355.20
  4. Step 4: Simplify right side
    442,844.80x = 264,645,238,767.36
  5. Step 5: Solve for x
    x = 264,645,238,767.36/442,844.80
  6. Step 6: Final answer
    x = 597,602.68

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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.