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Finding the Fourth Proportional to 403,855.60, 605,783.40 and 123,336.40

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Solution

The fourth proportional to 403,855.60, 605,783.40 and 123,336.40 is: 185,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,855.60 : 605,783.40 = 123,336.40 : x
  2. Step 2: Convert to fraction form
    403,855.60/605,783.40 = 123,336.40/x
  3. Step 3: Cross multiply
    403,855.60x = 605,783.40 × 123,336.40
  4. Step 4: Simplify right side
    403,855.60x = 74,715,143,735.76
  5. Step 5: Solve for x
    x = 74,715,143,735.76/403,855.60
  6. Step 6: Final answer
    x = 185,004.60

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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.