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Finding the Fourth Proportional to 403,775.08, 605,749.02 and 123,313

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Solution

The fourth proportional to 403,775.08, 605,749.02 and 123,313 is: 184,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,775.08 : 605,749.02 = 123,313 : x
  2. Step 2: Convert to fraction form
    403,775.08/605,749.02 = 123,313/x
  3. Step 3: Cross multiply
    403,775.08x = 605,749.02 × 123,313
  4. Step 4: Simplify right side
    403,775.08x = 74,696,728,903.26
  5. Step 5: Solve for x
    x = 74,696,728,903.26/403,775.08
  6. Step 6: Final answer
    x = 184,995.89

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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.