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Finding the Fourth Proportional to 429,764.36, 644,646.52 and 163,463.36

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Solution

The fourth proportional to 429,764.36, 644,646.52 and 163,463.36 is: 245,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,764.36 : 644,646.52 = 163,463.36 : x
  2. Step 2: Convert to fraction form
    429,764.36/644,646.52 = 163,463.36/x
  3. Step 3: Cross multiply
    429,764.36x = 644,646.52 × 163,463.36
  4. Step 4: Simplify right side
    429,764.36x = 105,376,086,171.51
  5. Step 5: Solve for x
    x = 105,376,086,171.51/429,764.36
  6. Step 6: Final answer
    x = 245,195.03

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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.