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Finding the Fourth Proportional to 286,605.30, 429,911.98 and 109,122

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Solution

The fourth proportional to 286,605.30, 429,911.98 and 109,122 is: 163,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,605.30 : 429,911.98 = 109,122 : x
  2. Step 2: Convert to fraction form
    286,605.30/429,911.98 = 109,122/x
  3. Step 3: Cross multiply
    286,605.30x = 429,911.98 × 109,122
  4. Step 4: Simplify right side
    286,605.30x = 46,912,855,081.56
  5. Step 5: Solve for x
    x = 46,912,855,081.56/286,605.30
  6. Step 6: Final answer
    x = 163,684.53

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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.