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Finding the Fourth Proportional to 289,980.25, 400,171.92 and 160,938.22

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Solution

The fourth proportional to 289,980.25, 400,171.92 and 160,938.22 is: 222,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,980.25 : 400,171.92 = 160,938.22 : x
  2. Step 2: Convert to fraction form
    289,980.25/400,171.92 = 160,938.22/x
  3. Step 3: Cross multiply
    289,980.25x = 400,171.92 × 160,938.22
  4. Step 4: Simplify right side
    289,980.25x = 64,402,956,498.78
  5. Step 5: Solve for x
    x = 64,402,956,498.78/289,980.25
  6. Step 6: Final answer
    x = 222,094.29

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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.