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Finding the Fourth Proportional to 271,319.20, 406,978.80 and 74,327.20

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Solution

The fourth proportional to 271,319.20, 406,978.80 and 74,327.20 is: 111,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,319.20 : 406,978.80 = 74,327.20 : x
  2. Step 2: Convert to fraction form
    271,319.20/406,978.80 = 74,327.20/x
  3. Step 3: Cross multiply
    271,319.20x = 406,978.80 × 74,327.20
  4. Step 4: Simplify right side
    271,319.20x = 30,249,594,663.36
  5. Step 5: Solve for x
    x = 30,249,594,663.36/271,319.20
  6. Step 6: Final answer
    x = 111,490.80

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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.