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Finding the Fourth Proportional to 429,212, 643,608.48 and 129,635.12

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Solution

The fourth proportional to 429,212, 643,608.48 and 129,635.12 is: 194,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,212 : 643,608.48 = 129,635.12 : x
  2. Step 2: Convert to fraction form
    429,212/643,608.48 = 129,635.12/x
  3. Step 3: Cross multiply
    429,212x = 643,608.48 × 129,635.12
  4. Step 4: Simplify right side
    429,212x = 83,434,262,537.82
  5. Step 5: Solve for x
    x = 83,434,262,537.82/429,212
  6. Step 6: Final answer
    x = 194,389.40

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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.