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Finding the Fourth Proportional to 285,862.32, 428,705.64 and 197,682.48

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Solution

The fourth proportional to 285,862.32, 428,705.64 and 197,682.48 is: 296,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,862.32 : 428,705.64 = 197,682.48 : x
  2. Step 2: Convert to fraction form
    285,862.32/428,705.64 = 197,682.48/x
  3. Step 3: Cross multiply
    285,862.32x = 428,705.64 × 197,682.48
  4. Step 4: Simplify right side
    285,862.32x = 84,747,594,105.19
  5. Step 5: Solve for x
    x = 84,747,594,105.19/285,862.32
  6. Step 6: Final answer
    x = 296,462.98

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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.