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Finding the Fourth Proportional to 403,825.02, 605,715.60 and 123,320.40

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Solution

The fourth proportional to 403,825.02, 605,715.60 and 123,320.40 is: 184,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,825.02 : 605,715.60 = 123,320.40 : x
  2. Step 2: Convert to fraction form
    403,825.02/605,715.60 = 123,320.40/x
  3. Step 3: Cross multiply
    403,825.02x = 605,715.60 × 123,320.40
  4. Step 4: Simplify right side
    403,825.02x = 74,697,090,078.24
  5. Step 5: Solve for x
    x = 74,697,090,078.24/403,825.02
  6. Step 6: Final answer
    x = 184,973.90

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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.