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Finding the Fourth Proportional to 326,031.81, 449,768.96 and 217,186.74

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Solution

The fourth proportional to 326,031.81, 449,768.96 and 217,186.74 is: 299,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,031.81 : 449,768.96 = 217,186.74 : x
  2. Step 2: Convert to fraction form
    326,031.81/449,768.96 = 217,186.74/x
  3. Step 3: Cross multiply
    326,031.81x = 449,768.96 × 217,186.74
  4. Step 4: Simplify right side
    326,031.81x = 97,683,854,175.59
  5. Step 5: Solve for x
    x = 97,683,854,175.59/326,031.81
  6. Step 6: Final answer
    x = 299,614.49

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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.