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Finding the Fourth Proportional to 286,253.34, 429,331.38 and 75,912.54

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Solution

The fourth proportional to 286,253.34, 429,331.38 and 75,912.54 is: 113,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,253.34 : 429,331.38 = 75,912.54 : x
  2. Step 2: Convert to fraction form
    286,253.34/429,331.38 = 75,912.54/x
  3. Step 3: Cross multiply
    286,253.34x = 429,331.38 × 75,912.54
  4. Step 4: Simplify right side
    286,253.34x = 32,591,635,557.51
  5. Step 5: Solve for x
    x = 32,591,635,557.51/286,253.34
  6. Step 6: Final answer
    x = 113,855.91

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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.