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Finding the Fourth Proportional to 289,375.28, 399,328.61 and 160,308.46

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Solution

The fourth proportional to 289,375.28, 399,328.61 and 160,308.46 is: 221,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,375.28 : 399,328.61 = 160,308.46 : x
  2. Step 2: Convert to fraction form
    289,375.28/399,328.61 = 160,308.46/x
  3. Step 3: Cross multiply
    289,375.28x = 399,328.61 × 160,308.46
  4. Step 4: Simplify right side
    289,375.28x = 64,015,752,703.18
  5. Step 5: Solve for x
    x = 64,015,752,703.18/289,375.28
  6. Step 6: Final answer
    x = 221,220.53

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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.