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Finding the Fourth Proportional to 286,400.65, 429,656.30 and 108,893.87

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Solution

The fourth proportional to 286,400.65, 429,656.30 and 108,893.87 is: 163,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,400.65 : 429,656.30 = 108,893.87 : x
  2. Step 2: Convert to fraction form
    286,400.65/429,656.30 = 108,893.87/x
  3. Step 3: Cross multiply
    286,400.65x = 429,656.30 × 108,893.87
  4. Step 4: Simplify right side
    286,400.65x = 46,786,934,584.13
  5. Step 5: Solve for x
    x = 46,786,934,584.13/286,400.65
  6. Step 6: Final answer
    x = 163,361.83

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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.