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Finding the Fourth Proportional to 286,801.72, 429,815.06 and 109,211.88

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Solution

The fourth proportional to 286,801.72, 429,815.06 and 109,211.88 is: 163,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,801.72 : 429,815.06 = 109,211.88 : x
  2. Step 2: Convert to fraction form
    286,801.72/429,815.06 = 109,211.88/x
  3. Step 3: Cross multiply
    286,801.72x = 429,815.06 × 109,211.88
  4. Step 4: Simplify right side
    286,801.72x = 46,940,910,754.91
  5. Step 5: Solve for x
    x = 46,940,910,754.91/286,801.72
  6. Step 6: Final answer
    x = 163,670.26

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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.