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Finding the Fourth Proportional to 285,310.56, 393,309.36 and 217,209

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Solution

The fourth proportional to 285,310.56, 393,309.36 and 217,209 is: 299,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,310.56 : 393,309.36 = 217,209 : x
  2. Step 2: Convert to fraction form
    285,310.56/393,309.36 = 217,209/x
  3. Step 3: Cross multiply
    285,310.56x = 393,309.36 × 217,209
  4. Step 4: Simplify right side
    285,310.56x = 85,430,332,776.24
  5. Step 5: Solve for x
    x = 85,430,332,776.24/285,310.56
  6. Step 6: Final answer
    x = 299,429.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.