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Finding the Fourth Proportional to 403,411.60, 605,117.40 and 122,942.80

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Solution

The fourth proportional to 403,411.60, 605,117.40 and 122,942.80 is: 184,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,411.60 : 605,117.40 = 122,942.80 : x
  2. Step 2: Convert to fraction form
    403,411.60/605,117.40 = 122,942.80/x
  3. Step 3: Cross multiply
    403,411.60x = 605,117.40 × 122,942.80
  4. Step 4: Simplify right side
    403,411.60x = 74,394,827,484.72
  5. Step 5: Solve for x
    x = 74,394,827,484.72/403,411.60
  6. Step 6: Final answer
    x = 184,414.20

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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.