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Finding the Fourth Proportional to 289,707, 434,753.32 and 119,068.65

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Solution

The fourth proportional to 289,707, 434,753.32 and 119,068.65 is: 178,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,707 : 434,753.32 = 119,068.65 : x
  2. Step 2: Convert to fraction form
    289,707/434,753.32 = 119,068.65/x
  3. Step 3: Cross multiply
    289,707x = 434,753.32 × 119,068.65
  4. Step 4: Simplify right side
    289,707x = 51,765,490,895.42
  5. Step 5: Solve for x
    x = 51,765,490,895.42/289,707
  6. Step 6: Final answer
    x = 178,682.22

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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.