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Finding the Fourth Proportional to 286,408.67, 429,633.76 and 86,744.62

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Solution

The fourth proportional to 286,408.67, 429,633.76 and 86,744.62 is: 130,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,408.67 : 429,633.76 = 86,744.62 : x
  2. Step 2: Convert to fraction form
    286,408.67/429,633.76 = 86,744.62/x
  3. Step 3: Cross multiply
    286,408.67x = 429,633.76 × 86,744.62
  4. Step 4: Simplify right side
    286,408.67x = 37,268,417,611.21
  5. Step 5: Solve for x
    x = 37,268,417,611.21/286,408.67
  6. Step 6: Final answer
    x = 130,123.22

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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.