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Finding the Fourth Proportional to 429,777.81, 644,853.02 and 163,613.97

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Solution

The fourth proportional to 429,777.81, 644,853.02 and 163,613.97 is: 245,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,777.81 : 644,853.02 = 163,613.97 : x
  2. Step 2: Convert to fraction form
    429,777.81/644,853.02 = 163,613.97/x
  3. Step 3: Cross multiply
    429,777.81x = 644,853.02 × 163,613.97
  4. Step 4: Simplify right side
    429,777.81x = 105,506,961,850.62
  5. Step 5: Solve for x
    x = 105,506,961,850.62/429,777.81
  6. Step 6: Final answer
    x = 245,491.88

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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.