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Finding the Fourth Proportional to 412,857.88, 569,864.86 and 269,640.20

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Solution

The fourth proportional to 412,857.88, 569,864.86 and 269,640.20 is: 372,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,857.88 : 569,864.86 = 269,640.20 : x
  2. Step 2: Convert to fraction form
    412,857.88/569,864.86 = 269,640.20/x
  3. Step 3: Cross multiply
    412,857.88x = 569,864.86 × 269,640.20
  4. Step 4: Simplify right side
    412,857.88x = 153,658,474,823.37
  5. Step 5: Solve for x
    x = 153,658,474,823.37/412,857.88
  6. Step 6: Final answer
    x = 372,182.49

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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.