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Finding the Fourth Proportional to 429,007.80, 643,317.30 and 162,679.80

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Solution

The fourth proportional to 429,007.80, 643,317.30 and 162,679.80 is: 243,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,007.80 : 643,317.30 = 162,679.80 : x
  2. Step 2: Convert to fraction form
    429,007.80/643,317.30 = 162,679.80/x
  3. Step 3: Cross multiply
    429,007.80x = 643,317.30 × 162,679.80
  4. Step 4: Simplify right side
    429,007.80x = 104,654,729,700.54
  5. Step 5: Solve for x
    x = 104,654,729,700.54/429,007.80
  6. Step 6: Final answer
    x = 243,945.98

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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.