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Finding the Fourth Proportional to 289,707.06, 434,753.41 and 119,068.71

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Solution

The fourth proportional to 289,707.06, 434,753.41 and 119,068.71 is: 178,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,707.06 : 434,753.41 = 119,068.71 : x
  2. Step 2: Convert to fraction form
    289,707.06/434,753.41 = 119,068.71/x
  3. Step 3: Cross multiply
    289,707.06x = 434,753.41 × 119,068.71
  4. Step 4: Simplify right side
    289,707.06x = 51,765,529,230.19
  5. Step 5: Solve for x
    x = 51,765,529,230.19/289,707.06
  6. Step 6: Final answer
    x = 178,682.32

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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.