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Finding the Fourth Proportional to 280,184,469.60, 420,276,704.40 and 264,312,098.40

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Solution

The fourth proportional to 280,184,469.60, 420,276,704.40 and 264,312,098.40 is: 396,468,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,184,469.60 : 420,276,704.40 = 264,312,098.40 : x
  2. Step 2: Convert to fraction form
    280,184,469.60/420,276,704.40 = 264,312,098.40/x
  3. Step 3: Cross multiply
    280,184,469.60x = 420,276,704.40 × 264,312,098.40
  4. Step 4: Simplify right side
    280,184,469.60x = 111,084,217,648,600,512
  5. Step 5: Solve for x
    x = 111,084,217,648,600,512/280,184,469.60
  6. Step 6: Final answer
    x = 396,468,147.60

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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.