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Finding the Fourth Proportional to 429,891.23, 644,843.04 and 163,666.36

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Solution

The fourth proportional to 429,891.23, 644,843.04 and 163,666.36 is: 245,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,891.23 : 644,843.04 = 163,666.36 : x
  2. Step 2: Convert to fraction form
    429,891.23/644,843.04 = 163,666.36/x
  3. Step 3: Cross multiply
    429,891.23x = 644,843.04 × 163,666.36
  4. Step 4: Simplify right side
    429,891.23x = 105,539,113,128.13
  5. Step 5: Solve for x
    x = 105,539,113,128.13/429,891.23
  6. Step 6: Final answer
    x = 245,501.90

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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.