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Finding the Fourth Proportional to 289,493.62, 434,272.51 and 99,932.51

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Solution

The fourth proportional to 289,493.62, 434,272.51 and 99,932.51 is: 149,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,493.62 : 434,272.51 = 99,932.51 : x
  2. Step 2: Convert to fraction form
    289,493.62/434,272.51 = 99,932.51/x
  3. Step 3: Cross multiply
    289,493.62x = 434,272.51 × 99,932.51
  4. Step 4: Simplify right side
    289,493.62x = 43,397,939,277.28
  5. Step 5: Solve for x
    x = 43,397,939,277.28/289,493.62
  6. Step 6: Final answer
    x = 149,909.83

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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.