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Finding the Fourth Proportional to 390,057.70, 585,086.55 and 229,969.30

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Solution

The fourth proportional to 390,057.70, 585,086.55 and 229,969.30 is: 344,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057.70 : 585,086.55 = 229,969.30 : x
  2. Step 2: Convert to fraction form
    390,057.70/585,086.55 = 229,969.30/x
  3. Step 3: Cross multiply
    390,057.70x = 585,086.55 × 229,969.30
  4. Step 4: Simplify right side
    390,057.70x = 134,551,944,342.92
  5. Step 5: Solve for x
    x = 134,551,944,342.92/390,057.70
  6. Step 6: Final answer
    x = 344,953.95

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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.