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Finding the Fourth Proportional to 286,524.83, 429,873.11 and 115,658.57

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Solution

The fourth proportional to 286,524.83, 429,873.11 and 115,658.57 is: 173,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,524.83 : 429,873.11 = 115,658.57 : x
  2. Step 2: Convert to fraction form
    286,524.83/429,873.11 = 115,658.57/x
  3. Step 3: Cross multiply
    286,524.83x = 429,873.11 × 115,658.57
  4. Step 4: Simplify right side
    286,524.83x = 49,718,510,114.16
  5. Step 5: Solve for x
    x = 49,718,510,114.16/286,524.83
  6. Step 6: Final answer
    x = 173,522.52

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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.