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Finding the Fourth Proportional to 289,505.92, 399,762.88 and 217,760.96

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Solution

The fourth proportional to 289,505.92, 399,762.88 and 217,760.96 is: 300,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,505.92 : 399,762.88 = 217,760.96 : x
  2. Step 2: Convert to fraction form
    289,505.92/399,762.88 = 217,760.96/x
  3. Step 3: Cross multiply
    289,505.92x = 399,762.88 × 217,760.96
  4. Step 4: Simplify right side
    289,505.92x = 87,052,748,521.16
  5. Step 5: Solve for x
    x = 87,052,748,521.16/289,505.92
  6. Step 6: Final answer
    x = 300,694.19

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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.