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Finding the Fourth Proportional to 403,905.60, 605,858.40 and 123,420.42

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Solution

The fourth proportional to 403,905.60, 605,858.40 and 123,420.42 is: 185,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,905.60 : 605,858.40 = 123,420.42 : x
  2. Step 2: Convert to fraction form
    403,905.60/605,858.40 = 123,420.42/x
  3. Step 3: Cross multiply
    403,905.60x = 605,858.40 × 123,420.42
  4. Step 4: Simplify right side
    403,905.60x = 74,775,298,188.53
  5. Step 5: Solve for x
    x = 74,775,298,188.53/403,905.60
  6. Step 6: Final answer
    x = 185,130.63

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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.