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Finding the Fourth Proportional to 275,207.05, 412,412.16 and 189,730.17

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Solution

The fourth proportional to 275,207.05, 412,412.16 and 189,730.17 is: 284,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,207.05 : 412,412.16 = 189,730.17 : x
  2. Step 2: Convert to fraction form
    275,207.05/412,412.16 = 189,730.17/x
  3. Step 3: Cross multiply
    275,207.05x = 412,412.16 × 189,730.17
  4. Step 4: Simplify right side
    275,207.05x = 78,247,026,216.16
  5. Step 5: Solve for x
    x = 78,247,026,216.16/275,207.05
  6. Step 6: Final answer
    x = 284,320.57

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1.5x scale

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.