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Finding the Fourth Proportional to 477,643.11, 659,147.47 and 262,778.57

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Solution

The fourth proportional to 477,643.11, 659,147.47 and 262,778.57 is: 362,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,643.11 : 659,147.47 = 262,778.57 : x
  2. Step 2: Convert to fraction form
    477,643.11/659,147.47 = 262,778.57/x
  3. Step 3: Cross multiply
    477,643.11x = 659,147.47 × 262,778.57
  4. Step 4: Simplify right side
    477,643.11x = 173,209,826,289.98
  5. Step 5: Solve for x
    x = 173,209,826,289.98/477,643.11
  6. Step 6: Final answer
    x = 362,634.41

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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.