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Finding the Fourth Proportional to 289,971.76, 400,160.19 and 160,929.71

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Solution

The fourth proportional to 289,971.76, 400,160.19 and 160,929.71 is: 222,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,971.76 : 400,160.19 = 160,929.71 : x
  2. Step 2: Convert to fraction form
    289,971.76/400,160.19 = 160,929.71/x
  3. Step 3: Cross multiply
    289,971.76x = 400,160.19 × 160,929.71
  4. Step 4: Simplify right side
    289,971.76x = 64,397,661,329.44
  5. Step 5: Solve for x
    x = 64,397,661,329.44/289,971.76
  6. Step 6: Final answer
    x = 222,082.53

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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.