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Finding the Fourth Proportional to 409,203.72, 613,138.14 and 251,098.20

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Solution

The fourth proportional to 409,203.72, 613,138.14 and 251,098.20 is: 376,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,203.72 : 613,138.14 = 251,098.20 : x
  2. Step 2: Convert to fraction form
    409,203.72/613,138.14 = 251,098.20/x
  3. Step 3: Cross multiply
    409,203.72x = 613,138.14 × 251,098.20
  4. Step 4: Simplify right side
    409,203.72x = 153,957,883,305.35
  5. Step 5: Solve for x
    x = 153,957,883,305.35/409,203.72
  6. Step 6: Final answer
    x = 376,237.74

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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.