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Finding the Fourth Proportional to 289,073.80, 398,939.36 and 161,746.68

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Solution

The fourth proportional to 289,073.80, 398,939.36 and 161,746.68 is: 223,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.80 : 398,939.36 = 161,746.68 : x
  2. Step 2: Convert to fraction form
    289,073.80/398,939.36 = 161,746.68/x
  3. Step 3: Cross multiply
    289,073.80x = 398,939.36 × 161,746.68
  4. Step 4: Simplify right side
    289,073.80x = 64,527,117,001.32
  5. Step 5: Solve for x
    x = 64,527,117,001.32/289,073.80
  6. Step 6: Final answer
    x = 223,220.22

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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.