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Finding the Fourth Proportional to 409,215.47, 564,745.73 and 248,077.31

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Solution

The fourth proportional to 409,215.47, 564,745.73 and 248,077.31 is: 342,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,215.47 : 564,745.73 = 248,077.31 : x
  2. Step 2: Convert to fraction form
    409,215.47/564,745.73 = 248,077.31/x
  3. Step 3: Cross multiply
    409,215.47x = 564,745.73 × 248,077.31
  4. Step 4: Simplify right side
    409,215.47x = 140,100,597,468.27
  5. Step 5: Solve for x
    x = 140,100,597,468.27/409,215.47
  6. Step 6: Final answer
    x = 342,363.89

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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.