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Finding the Fourth Proportional to 413,433.60, 620,150.40 and 287,462.40

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Solution

The fourth proportional to 413,433.60, 620,150.40 and 287,462.40 is: 431,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,433.60 : 620,150.40 = 287,462.40 : x
  2. Step 2: Convert to fraction form
    413,433.60/620,150.40 = 287,462.40/x
  3. Step 3: Cross multiply
    413,433.60x = 620,150.40 × 287,462.40
  4. Step 4: Simplify right side
    413,433.60x = 178,269,922,344.96
  5. Step 5: Solve for x
    x = 178,269,922,344.96/413,433.60
  6. Step 6: Final answer
    x = 431,193.60

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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.