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Finding the Fourth Proportional to 285,710.43, 428,637.02 and 201,634.71

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Solution

The fourth proportional to 285,710.43, 428,637.02 and 201,634.71 is: 302,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,710.43 : 428,637.02 = 201,634.71 : x
  2. Step 2: Convert to fraction form
    285,710.43/428,637.02 = 201,634.71/x
  3. Step 3: Cross multiply
    285,710.43x = 428,637.02 × 201,634.71
  4. Step 4: Simplify right side
    285,710.43x = 86,428,100,214.79
  5. Step 5: Solve for x
    x = 86,428,100,214.79/285,710.43
  6. Step 6: Final answer
    x = 302,502.43

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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.