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Finding the Fourth Proportional to 477,230.78, 715,829.78 and 122,247.88

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Solution

The fourth proportional to 477,230.78, 715,829.78 and 122,247.88 is: 183,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,230.78 : 715,829.78 = 122,247.88 : x
  2. Step 2: Convert to fraction form
    477,230.78/715,829.78 = 122,247.88/x
  3. Step 3: Cross multiply
    477,230.78x = 715,829.78 × 122,247.88
  4. Step 4: Simplify right side
    477,230.78x = 87,508,673,045.87
  5. Step 5: Solve for x
    x = 87,508,673,045.87/477,230.78
  6. Step 6: Final answer
    x = 183,367.62

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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.