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Finding the Fourth Proportional to 403,712.98, 605,694.04 and 151,019

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Solution

The fourth proportional to 403,712.98, 605,694.04 and 151,019 is: 226,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,712.98 : 605,694.04 = 151,019 : x
  2. Step 2: Convert to fraction form
    403,712.98/605,694.04 = 151,019/x
  3. Step 3: Cross multiply
    403,712.98x = 605,694.04 × 151,019
  4. Step 4: Simplify right side
    403,712.98x = 91,471,308,226.76
  5. Step 5: Solve for x
    x = 91,471,308,226.76/403,712.98
  6. Step 6: Final answer
    x = 226,575.10

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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.