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Finding the Fourth Proportional to 286,607.36, 429,910.52 and 76,245.30

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Solution

The fourth proportional to 286,607.36, 429,910.52 and 76,245.30 is: 114,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,607.36 : 429,910.52 = 76,245.30 : x
  2. Step 2: Convert to fraction form
    286,607.36/429,910.52 = 76,245.30/x
  3. Step 3: Cross multiply
    286,607.36x = 429,910.52 × 76,245.30
  4. Step 4: Simplify right side
    286,607.36x = 32,778,656,570.56
  5. Step 5: Solve for x
    x = 32,778,656,570.56/286,607.36
  6. Step 6: Final answer
    x = 114,367.81

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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.