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Finding the Fourth Proportional to 286,160.42, 429,249.78 and 143,928.07

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Solution

The fourth proportional to 286,160.42, 429,249.78 and 143,928.07 is: 215,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,160.42 : 429,249.78 = 143,928.07 : x
  2. Step 2: Convert to fraction form
    286,160.42/429,249.78 = 143,928.07/x
  3. Step 3: Cross multiply
    286,160.42x = 429,249.78 × 143,928.07
  4. Step 4: Simplify right side
    286,160.42x = 61,781,091,310.20
  5. Step 5: Solve for x
    x = 61,781,091,310.20/286,160.42
  6. Step 6: Final answer
    x = 215,896.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.