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Finding the Fourth Proportional to 286,771.32, 395,743.50 and 159,446.88

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Solution

The fourth proportional to 286,771.32, 395,743.50 and 159,446.88 is: 220,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,771.32 : 395,743.50 = 159,446.88 : x
  2. Step 2: Convert to fraction form
    286,771.32/395,743.50 = 159,446.88/x
  3. Step 3: Cross multiply
    286,771.32x = 395,743.50 × 159,446.88
  4. Step 4: Simplify right side
    286,771.32x = 63,100,066,355.28
  5. Step 5: Solve for x
    x = 63,100,066,355.28/286,771.32
  6. Step 6: Final answer
    x = 220,036.18

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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.