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Finding the Fourth Proportional to 268,798.91, 403,447.43 and 135,772.40

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Solution

The fourth proportional to 268,798.91, 403,447.43 and 135,772.40 is: 203,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,798.91 : 403,447.43 = 135,772.40 : x
  2. Step 2: Convert to fraction form
    268,798.91/403,447.43 = 135,772.40/x
  3. Step 3: Cross multiply
    268,798.91x = 403,447.43 × 135,772.40
  4. Step 4: Simplify right side
    268,798.91x = 54,777,027,192.98
  5. Step 5: Solve for x
    x = 54,777,027,192.98/268,798.91
  6. Step 6: Final answer
    x = 203,784.41

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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.