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Finding the Fourth Proportional to 219,292.61, 329,070.12 and 201,446.69

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Solution

The fourth proportional to 219,292.61, 329,070.12 and 201,446.69 is: 302,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,292.61 : 329,070.12 = 201,446.69 : x
  2. Step 2: Convert to fraction form
    219,292.61/329,070.12 = 201,446.69/x
  3. Step 3: Cross multiply
    219,292.61x = 329,070.12 × 201,446.69
  4. Step 4: Simplify right side
    219,292.61x = 66,290,084,806.55
  5. Step 5: Solve for x
    x = 66,290,084,806.55/219,292.61
  6. Step 6: Final answer
    x = 302,290.56

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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.