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Finding the Fourth Proportional to 286,205.54, 429,337.70 and 75,843.47

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Solution

The fourth proportional to 286,205.54, 429,337.70 and 75,843.47 is: 113,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,205.54 : 429,337.70 = 75,843.47 : x
  2. Step 2: Convert to fraction form
    286,205.54/429,337.70 = 75,843.47/x
  3. Step 3: Cross multiply
    286,205.54x = 429,337.70 × 75,843.47
  4. Step 4: Simplify right side
    286,205.54x = 32,562,458,443.91
  5. Step 5: Solve for x
    x = 32,562,458,443.91/286,205.54
  6. Step 6: Final answer
    x = 113,772.99

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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.