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Finding the Fourth Proportional to 403,428.60, 605,142.90 and 122,959.80

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Solution

The fourth proportional to 403,428.60, 605,142.90 and 122,959.80 is: 184,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,428.60 : 605,142.90 = 122,959.80 : x
  2. Step 2: Convert to fraction form
    403,428.60/605,142.90 = 122,959.80/x
  3. Step 3: Cross multiply
    403,428.60x = 605,142.90 × 122,959.80
  4. Step 4: Simplify right side
    403,428.60x = 74,408,249,955.42
  5. Step 5: Solve for x
    x = 74,408,249,955.42/403,428.60
  6. Step 6: Final answer
    x = 184,439.70

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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.