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Finding the Fourth Proportional to 289,958.42, 400,144.76 and 160,897.40

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Solution

The fourth proportional to 289,958.42, 400,144.76 and 160,897.40 is: 222,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,958.42 : 400,144.76 = 160,897.40 : x
  2. Step 2: Convert to fraction form
    289,958.42/400,144.76 = 160,897.40/x
  3. Step 3: Cross multiply
    289,958.42x = 400,144.76 × 160,897.40
  4. Step 4: Simplify right side
    289,958.42x = 64,382,251,369.02
  5. Step 5: Solve for x
    x = 64,382,251,369.02/289,958.42
  6. Step 6: Final answer
    x = 222,039.60

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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.