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Finding the Fourth Proportional to 312,107.62, 430,705.44 and 168,864.52

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Solution

The fourth proportional to 312,107.62, 430,705.44 and 168,864.52 is: 233,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,107.62 : 430,705.44 = 168,864.52 : x
  2. Step 2: Convert to fraction form
    312,107.62/430,705.44 = 168,864.52/x
  3. Step 3: Cross multiply
    312,107.62x = 430,705.44 × 168,864.52
  4. Step 4: Simplify right side
    312,107.62x = 72,730,867,386.99
  5. Step 5: Solve for x
    x = 72,730,867,386.99/312,107.62
  6. Step 6: Final answer
    x = 233,031.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.