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Finding the Fourth Proportional to 286,604.61, 429,906.41 and 76,242.56

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Solution

The fourth proportional to 286,604.61, 429,906.41 and 76,242.56 is: 114,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,604.61 : 429,906.41 = 76,242.56 : x
  2. Step 2: Convert to fraction form
    286,604.61/429,906.41 = 76,242.56/x
  3. Step 3: Cross multiply
    286,604.61x = 429,906.41 × 76,242.56
  4. Step 4: Simplify right side
    286,604.61x = 32,777,162,728.06
  5. Step 5: Solve for x
    x = 32,777,162,728.06/286,604.61
  6. Step 6: Final answer
    x = 114,363.70

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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.