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Finding the Fourth Proportional to 403,476.66, 605,039.94 and 137,165.64

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Solution

The fourth proportional to 403,476.66, 605,039.94 and 137,165.64 is: 205,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,476.66 : 605,039.94 = 137,165.64 : x
  2. Step 2: Convert to fraction form
    403,476.66/605,039.94 = 137,165.64/x
  3. Step 3: Cross multiply
    403,476.66x = 605,039.94 × 137,165.64
  4. Step 4: Simplify right side
    403,476.66x = 82,990,690,595.66
  5. Step 5: Solve for x
    x = 82,990,690,595.66/403,476.66
  6. Step 6: Final answer
    x = 205,688.95

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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.