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Finding the Fourth Proportional to 289,972.76, 400,161.57 and 160,930.71

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Solution

The fourth proportional to 289,972.76, 400,161.57 and 160,930.71 is: 222,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,972.76 : 400,161.57 = 160,930.71 : x
  2. Step 2: Convert to fraction form
    289,972.76/400,161.57 = 160,930.71/x
  3. Step 3: Cross multiply
    289,972.76x = 400,161.57 × 160,930.71
  4. Step 4: Simplify right side
    289,972.76x = 64,398,285,574.81
  5. Step 5: Solve for x
    x = 64,398,285,574.81/289,972.76
  6. Step 6: Final answer
    x = 222,083.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.