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Finding the Fourth Proportional to 409,215.09, 564,745.21 and 248,076.93

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Solution

The fourth proportional to 409,215.09, 564,745.21 and 248,076.93 is: 342,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,215.09 : 564,745.21 = 248,076.93 : x
  2. Step 2: Convert to fraction form
    409,215.09/564,745.21 = 248,076.93/x
  3. Step 3: Cross multiply
    409,215.09x = 564,745.21 × 248,076.93
  4. Step 4: Simplify right side
    409,215.09x = 140,100,255,105.28
  5. Step 5: Solve for x
    x = 140,100,255,105.28/409,215.09
  6. Step 6: Final answer
    x = 342,363.37

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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.