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Finding the Fourth Proportional to 390,071.70, 585,107.55 and 229,983.30

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Solution

The fourth proportional to 390,071.70, 585,107.55 and 229,983.30 is: 344,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071.70 : 585,107.55 = 229,983.30 : x
  2. Step 2: Convert to fraction form
    390,071.70/585,107.55 = 229,983.30/x
  3. Step 3: Cross multiply
    390,071.70x = 585,107.55 × 229,983.30
  4. Step 4: Simplify right side
    390,071.70x = 134,564,965,203.92
  5. Step 5: Solve for x
    x = 134,564,965,203.92/390,071.70
  6. Step 6: Final answer
    x = 344,974.95

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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.