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Finding the Fourth Proportional to 390,857.38, 585,499.83 and 296,249.38

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Solution

The fourth proportional to 390,857.38, 585,499.83 and 296,249.38 is: 443,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,857.38 : 585,499.83 = 296,249.38 : x
  2. Step 2: Convert to fraction form
    390,857.38/585,499.83 = 296,249.38/x
  3. Step 3: Cross multiply
    390,857.38x = 585,499.83 × 296,249.38
  4. Step 4: Simplify right side
    390,857.38x = 173,453,961,627.61
  5. Step 5: Solve for x
    x = 173,453,961,627.61/390,857.38
  6. Step 6: Final answer
    x = 443,778.14

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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.