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Finding the Fourth Proportional to 286,136.64, 429,239.52 and 75,778.56

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Solution

The fourth proportional to 286,136.64, 429,239.52 and 75,778.56 is: 113,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,136.64 : 429,239.52 = 75,778.56 : x
  2. Step 2: Convert to fraction form
    286,136.64/429,239.52 = 75,778.56/x
  3. Step 3: Cross multiply
    286,136.64x = 429,239.52 × 75,778.56
  4. Step 4: Simplify right side
    286,136.64x = 32,527,152,720.69
  5. Step 5: Solve for x
    x = 32,527,152,720.69/286,136.64
  6. Step 6: Final answer
    x = 113,676.99

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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.