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Finding the Fourth Proportional to 429,452.13, 643,978.20 and 159,392.19

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Solution

The fourth proportional to 429,452.13, 643,978.20 and 159,392.19 is: 239,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452.13 : 643,978.20 = 159,392.19 : x
  2. Step 2: Convert to fraction form
    429,452.13/643,978.20 = 159,392.19/x
  3. Step 3: Cross multiply
    429,452.13x = 643,978.20 × 159,392.19
  4. Step 4: Simplify right side
    429,452.13x = 102,645,095,610.26
  5. Step 5: Solve for x
    x = 102,645,095,610.26/429,452.13
  6. Step 6: Final answer
    x = 239,014.06

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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.