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Finding the Fourth Proportional to 200,442, 300,687.72 and 65,502.88

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Solution

The fourth proportional to 200,442, 300,687.72 and 65,502.88 is: 98,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,442 : 300,687.72 = 65,502.88 : x
  2. Step 2: Convert to fraction form
    200,442/300,687.72 = 65,502.88/x
  3. Step 3: Cross multiply
    200,442x = 300,687.72 × 65,502.88
  4. Step 4: Simplify right side
    200,442x = 19,695,911,640.63
  5. Step 5: Solve for x
    x = 19,695,911,640.63/200,442
  6. Step 6: Final answer
    x = 98,262.40

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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.