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Finding the Fourth Proportional to 289,073.38, 398,911.26 and 160,017.48

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Solution

The fourth proportional to 289,073.38, 398,911.26 and 160,017.48 is: 220,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.38 : 398,911.26 = 160,017.48 : x
  2. Step 2: Convert to fraction form
    289,073.38/398,911.26 = 160,017.48/x
  3. Step 3: Cross multiply
    289,073.38x = 398,911.26 × 160,017.48
  4. Step 4: Simplify right side
    289,073.38x = 63,832,775,464.68
  5. Step 5: Solve for x
    x = 63,832,775,464.68/289,073.38
  6. Step 6: Final answer
    x = 220,818.59

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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.