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Finding the Fourth Proportional to 317,442.60, 476,163.90 and 305,195.40

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Solution

The fourth proportional to 317,442.60, 476,163.90 and 305,195.40 is: 457,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,442.60 : 476,163.90 = 305,195.40 : x
  2. Step 2: Convert to fraction form
    317,442.60/476,163.90 = 305,195.40/x
  3. Step 3: Cross multiply
    317,442.60x = 476,163.90 × 305,195.40
  4. Step 4: Simplify right side
    317,442.60x = 145,323,031,926.06
  5. Step 5: Solve for x
    x = 145,323,031,926.06/317,442.60
  6. Step 6: Final answer
    x = 457,793.10

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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.