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Finding the Fourth Proportional to 403,660.70, 605,486.19 and 123,178.76

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Solution

The fourth proportional to 403,660.70, 605,486.19 and 123,178.76 is: 184,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,660.70 : 605,486.19 = 123,178.76 : x
  2. Step 2: Convert to fraction form
    403,660.70/605,486.19 = 123,178.76/x
  3. Step 3: Cross multiply
    403,660.70x = 605,486.19 × 123,178.76
  4. Step 4: Simplify right side
    403,660.70x = 74,583,038,081.32
  5. Step 5: Solve for x
    x = 74,583,038,081.32/403,660.70
  6. Step 6: Final answer
    x = 184,766.66

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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.