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Finding the Fourth Proportional to 289,359.34, 434,039.06 and 120,787.72

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Solution

The fourth proportional to 289,359.34, 434,039.06 and 120,787.72 is: 181,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,359.34 : 434,039.06 = 120,787.72 : x
  2. Step 2: Convert to fraction form
    289,359.34/434,039.06 = 120,787.72/x
  3. Step 3: Cross multiply
    289,359.34x = 434,039.06 × 120,787.72
  4. Step 4: Simplify right side
    289,359.34x = 52,426,585,674.21
  5. Step 5: Solve for x
    x = 52,426,585,674.21/289,359.34
  6. Step 6: Final answer
    x = 181,181.59

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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.