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Finding the Fourth Proportional to 403,401.80, 605,037.90 and 122,853.80

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Solution

The fourth proportional to 403,401.80, 605,037.90 and 122,853.80 is: 184,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,401.80 : 605,037.90 = 122,853.80 : x
  2. Step 2: Convert to fraction form
    403,401.80/605,037.90 = 122,853.80/x
  3. Step 3: Cross multiply
    403,401.80x = 605,037.90 × 122,853.80
  4. Step 4: Simplify right side
    403,401.80x = 74,331,205,159.02
  5. Step 5: Solve for x
    x = 74,331,205,159.02/403,401.80
  6. Step 6: Final answer
    x = 184,260.97

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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.