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Finding the Fourth Proportional to 403,588.62, 605,101.05 and 178,827

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Solution

The fourth proportional to 403,588.62, 605,101.05 and 178,827 is: 268,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,588.62 : 605,101.05 = 178,827 : x
  2. Step 2: Convert to fraction form
    403,588.62/605,101.05 = 178,827/x
  3. Step 3: Cross multiply
    403,588.62x = 605,101.05 × 178,827
  4. Step 4: Simplify right side
    403,588.62x = 108,208,405,468.35
  5. Step 5: Solve for x
    x = 108,208,405,468.35/403,588.62
  6. Step 6: Final answer
    x = 268,115.60

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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.