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Finding the Fourth Proportional to 477,838.56, 659,142.90 and 298,679.52

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Solution

The fourth proportional to 477,838.56, 659,142.90 and 298,679.52 is: 412,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,838.56 : 659,142.90 = 298,679.52 : x
  2. Step 2: Convert to fraction form
    477,838.56/659,142.90 = 298,679.52/x
  3. Step 3: Cross multiply
    477,838.56x = 659,142.90 × 298,679.52
  4. Step 4: Simplify right side
    477,838.56x = 196,872,484,983.41
  5. Step 5: Solve for x
    x = 196,872,484,983.41/477,838.56
  6. Step 6: Final answer
    x = 412,006.27

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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.