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Finding the Fourth Proportional to 242,290.24, 363,495.84 and 84,520

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Solution

The fourth proportional to 242,290.24, 363,495.84 and 84,520 is: 126,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,290.24 : 363,495.84 = 84,520 : x
  2. Step 2: Convert to fraction form
    242,290.24/363,495.84 = 84,520/x
  3. Step 3: Cross multiply
    242,290.24x = 363,495.84 × 84,520
  4. Step 4: Simplify right side
    242,290.24x = 30,722,668,396.80
  5. Step 5: Solve for x
    x = 30,722,668,396.80/242,290.24
  6. Step 6: Final answer
    x = 126,801.10

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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.