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Finding the Fourth Proportional to 477,643.46, 659,147.94 and 262,778.91

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Solution

The fourth proportional to 477,643.46, 659,147.94 and 262,778.91 is: 362,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,643.46 : 659,147.94 = 262,778.91 : x
  2. Step 2: Convert to fraction form
    477,643.46/659,147.94 = 262,778.91/x
  3. Step 3: Cross multiply
    477,643.46x = 659,147.94 × 262,778.91
  4. Step 4: Simplify right side
    477,643.46x = 173,210,175,715.56
  5. Step 5: Solve for x
    x = 173,210,175,715.56/477,643.46
  6. Step 6: Final answer
    x = 362,634.88

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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.