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Finding the Fourth Proportional to 403,419.79, 605,185.16 and 137,108.83

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Solution

The fourth proportional to 403,419.79, 605,185.16 and 137,108.83 is: 205,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,419.79 : 605,185.16 = 137,108.83 : x
  2. Step 2: Convert to fraction form
    403,419.79/605,185.16 = 137,108.83/x
  3. Step 3: Cross multiply
    403,419.79x = 605,185.16 × 137,108.83
  4. Step 4: Simplify right side
    403,419.79x = 82,976,228,535.42
  5. Step 5: Solve for x
    x = 82,976,228,535.42/403,419.79
  6. Step 6: Final answer
    x = 205,682.10

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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.