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Finding the Fourth Proportional to 429,012.74, 643,266.77 and 162,791.98

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Solution

The fourth proportional to 429,012.74, 643,266.77 and 162,791.98 is: 244,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,012.74 : 643,266.77 = 162,791.98 : x
  2. Step 2: Convert to fraction form
    429,012.74/643,266.77 = 162,791.98/x
  3. Step 3: Cross multiply
    429,012.74x = 643,266.77 × 162,791.98
  4. Step 4: Simplify right side
    429,012.74x = 104,718,668,734.38
  5. Step 5: Solve for x
    x = 104,718,668,734.38/429,012.74
  6. Step 6: Final answer
    x = 244,092.21

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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.