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Finding the Fourth Proportional to 412,404.60, 618,455.16 and 142,464.04

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Solution

The fourth proportional to 412,404.60, 618,455.16 and 142,464.04 is: 213,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,404.60 : 618,455.16 = 142,464.04 : x
  2. Step 2: Convert to fraction form
    412,404.60/618,455.16 = 142,464.04/x
  3. Step 3: Cross multiply
    412,404.60x = 618,455.16 × 142,464.04
  4. Step 4: Simplify right side
    412,404.60x = 88,107,620,652.45
  5. Step 5: Solve for x
    x = 88,107,620,652.45/412,404.60
  6. Step 6: Final answer
    x = 213,643.64

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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.