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Finding the Fourth Proportional to 285,749.36, 428,695.31 and 201,673.74

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Solution

The fourth proportional to 285,749.36, 428,695.31 and 201,673.74 is: 302,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,749.36 : 428,695.31 = 201,673.74 : x
  2. Step 2: Convert to fraction form
    285,749.36/428,695.31 = 201,673.74/x
  3. Step 3: Cross multiply
    285,749.36x = 428,695.31 × 201,673.74
  4. Step 4: Simplify right side
    285,749.36x = 86,456,585,479.79
  5. Step 5: Solve for x
    x = 86,456,585,479.79/285,749.36
  6. Step 6: Final answer
    x = 302,560.91

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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.