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Finding the Fourth Proportional to 477,214.79, 715,805.78 and 122,231.88

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Solution

The fourth proportional to 477,214.79, 715,805.78 and 122,231.88 is: 183,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,214.79 : 715,805.78 = 122,231.88 : x
  2. Step 2: Convert to fraction form
    477,214.79/715,805.78 = 122,231.88/x
  3. Step 3: Cross multiply
    477,214.79x = 715,805.78 × 122,231.88
  4. Step 4: Simplify right side
    477,214.79x = 87,494,285,593.11
  5. Step 5: Solve for x
    x = 87,494,285,593.11/477,214.79
  6. Step 6: Final answer
    x = 183,343.62

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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.