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Finding the Fourth Proportional to 299,473.20, 413,002.80 and 197,426.16

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Solution

The fourth proportional to 299,473.20, 413,002.80 and 197,426.16 is: 272,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,473.20 : 413,002.80 = 197,426.16 : x
  2. Step 2: Convert to fraction form
    299,473.20/413,002.80 = 197,426.16/x
  3. Step 3: Cross multiply
    299,473.20x = 413,002.80 × 197,426.16
  4. Step 4: Simplify right side
    299,473.20x = 81,537,556,873.25
  5. Step 5: Solve for x
    x = 81,537,556,873.25/299,473.20
  6. Step 6: Final answer
    x = 272,269.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.