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Finding the Fourth Proportional to 477,119.85, 715,679.31 and 122,133.30

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Solution

The fourth proportional to 477,119.85, 715,679.31 and 122,133.30 is: 183,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,119.85 : 715,679.31 = 122,133.30 : x
  2. Step 2: Convert to fraction form
    477,119.85/715,679.31 = 122,133.30/x
  3. Step 3: Cross multiply
    477,119.85x = 715,679.31 × 122,133.30
  4. Step 4: Simplify right side
    477,119.85x = 87,408,273,646.23
  5. Step 5: Solve for x
    x = 87,408,273,646.23/477,119.85
  6. Step 6: Final answer
    x = 183,199.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.