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Finding the Fourth Proportional to 382,409.77, 527,725.92 and 212,640.25

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Solution

The fourth proportional to 382,409.77, 527,725.92 and 212,640.25 is: 293,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,409.77 : 527,725.92 = 212,640.25 : x
  2. Step 2: Convert to fraction form
    382,409.77/527,725.92 = 212,640.25/x
  3. Step 3: Cross multiply
    382,409.77x = 527,725.92 × 212,640.25
  4. Step 4: Simplify right side
    382,409.77x = 112,215,771,560.28
  5. Step 5: Solve for x
    x = 112,215,771,560.28/382,409.77
  6. Step 6: Final answer
    x = 293,443.79

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1.5x scale

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.