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Finding the Fourth Proportional to 299,412.41, 413,323.85 and 197,498.21

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Solution

The fourth proportional to 299,412.41, 413,323.85 and 197,498.21 is: 272,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412.41 : 413,323.85 = 197,498.21 : x
  2. Step 2: Convert to fraction form
    299,412.41/413,323.85 = 197,498.21/x
  3. Step 3: Cross multiply
    299,412.41x = 413,323.85 × 197,498.21
  4. Step 4: Simplify right side
    299,412.41x = 81,630,719,537.82
  5. Step 5: Solve for x
    x = 81,630,719,537.82/299,412.41
  6. Step 6: Final answer
    x = 272,636.39

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1.5x scale

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.