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Finding the Fourth Proportional to 300,983.92, 415,362.50 and 165,030.28

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Solution

The fourth proportional to 300,983.92, 415,362.50 and 165,030.28 is: 227,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,983.92 : 415,362.50 = 165,030.28 : x
  2. Step 2: Convert to fraction form
    300,983.92/415,362.50 = 165,030.28/x
  3. Step 3: Cross multiply
    300,983.92x = 415,362.50 × 165,030.28
  4. Step 4: Simplify right side
    300,983.92x = 68,547,389,676.50
  5. Step 5: Solve for x
    x = 68,547,389,676.50/300,983.92
  6. Step 6: Final answer
    x = 227,744.36

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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.