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Finding the Fourth Proportional to 289,374.66, 434,185.92 and 149,231.70

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Solution

The fourth proportional to 289,374.66, 434,185.92 and 149,231.70 is: 223,911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,374.66 : 434,185.92 = 149,231.70 : x
  2. Step 2: Convert to fraction form
    289,374.66/434,185.92 = 149,231.70/x
  3. Step 3: Cross multiply
    289,374.66x = 434,185.92 × 149,231.70
  4. Step 4: Simplify right side
    289,374.66x = 64,794,302,957.66
  5. Step 5: Solve for x
    x = 64,794,302,957.66/289,374.66
  6. Step 6: Final answer
    x = 223,911.46

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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.