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Finding the Fourth Proportional to 403,376.80, 605,000.40 and 122,828.80

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Solution

The fourth proportional to 403,376.80, 605,000.40 and 122,828.80 is: 184,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,376.80 : 605,000.40 = 122,828.80 : x
  2. Step 2: Convert to fraction form
    403,376.80/605,000.40 = 122,828.80/x
  3. Step 3: Cross multiply
    403,376.80x = 605,000.40 × 122,828.80
  4. Step 4: Simplify right side
    403,376.80x = 74,311,473,131.52
  5. Step 5: Solve for x
    x = 74,311,473,131.52/403,376.80
  6. Step 6: Final answer
    x = 184,223.47

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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.