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Finding the Fourth Proportional to 442,848.80, 666,022.80 and 397,359.20

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Solution

The fourth proportional to 442,848.80, 666,022.80 and 397,359.20 is: 597,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,848.80 : 666,022.80 = 397,359.20 : x
  2. Step 2: Convert to fraction form
    442,848.80/666,022.80 = 397,359.20/x
  3. Step 3: Cross multiply
    442,848.80x = 666,022.80 × 397,359.20
  4. Step 4: Simplify right side
    442,848.80x = 264,650,286,989.76
  5. Step 5: Solve for x
    x = 264,650,286,989.76/442,848.80
  6. Step 6: Final answer
    x = 597,608.68

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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.