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Finding the Fourth Proportional to 299,565.41, 413,300.68 and 197,641.49

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Solution

The fourth proportional to 299,565.41, 413,300.68 and 197,641.49 is: 272,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,565.41 : 413,300.68 = 197,641.49 : x
  2. Step 2: Convert to fraction form
    299,565.41/413,300.68 = 197,641.49/x
  3. Step 3: Cross multiply
    299,565.41x = 413,300.68 × 197,641.49
  4. Step 4: Simplify right side
    299,565.41x = 81,685,359,652.61
  5. Step 5: Solve for x
    x = 81,685,359,652.61/299,565.41
  6. Step 6: Final answer
    x = 272,679.55

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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.