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Finding the Fourth Proportional to 403,961.60, 605,942.40 and 304,817.60

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Solution

The fourth proportional to 403,961.60, 605,942.40 and 304,817.60 is: 457,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,961.60 : 605,942.40 = 304,817.60 : x
  2. Step 2: Convert to fraction form
    403,961.60/605,942.40 = 304,817.60/x
  3. Step 3: Cross multiply
    403,961.60x = 605,942.40 × 304,817.60
  4. Step 4: Simplify right side
    403,961.60x = 184,701,908,106.24
  5. Step 5: Solve for x
    x = 184,701,908,106.24/403,961.60
  6. Step 6: Final answer
    x = 457,226.40

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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.