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Finding the Fourth Proportional to 390,057.90, 585,086.85 and 352,733.10

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Solution

The fourth proportional to 390,057.90, 585,086.85 and 352,733.10 is: 529,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057.90 : 585,086.85 = 352,733.10 : x
  2. Step 2: Convert to fraction form
    390,057.90/585,086.85 = 352,733.10/x
  3. Step 3: Cross multiply
    390,057.90x = 585,086.85 × 352,733.10
  4. Step 4: Simplify right side
    390,057.90x = 206,379,498,369.74
  5. Step 5: Solve for x
    x = 206,379,498,369.74/390,057.90
  6. Step 6: Final answer
    x = 529,099.65

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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.