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Finding the Fourth Proportional to 442,978.70, 664,468.05 and 442,978.70

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Solution

The fourth proportional to 442,978.70, 664,468.05 and 442,978.70 is: 664,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,978.70 : 664,468.05 = 442,978.70 : x
  2. Step 2: Convert to fraction form
    442,978.70/664,468.05 = 442,978.70/x
  3. Step 3: Cross multiply
    442,978.70x = 664,468.05 × 442,978.70
  4. Step 4: Simplify right side
    442,978.70x = 294,345,192,980.54
  5. Step 5: Solve for x
    x = 294,345,192,980.54/442,978.70
  6. Step 6: Final answer
    x = 664,468.05

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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.