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Finding the Fourth Proportional to 442,978.93, 664,173.12 and 215,213.80

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Solution

The fourth proportional to 442,978.93, 664,173.12 and 215,213.80 is: 322,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,978.93 : 664,173.12 = 215,213.80 : x
  2. Step 2: Convert to fraction form
    442,978.93/664,173.12 = 215,213.80/x
  3. Step 3: Cross multiply
    442,978.93x = 664,173.12 × 215,213.80
  4. Step 4: Simplify right side
    442,978.93x = 142,939,221,013.06
  5. Step 5: Solve for x
    x = 142,939,221,013.06/442,978.93
  6. Step 6: Final answer
    x = 322,677.25

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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.