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Finding the Fourth Proportional to 284,879,201.20, 427,318,801.80 and 281,855,892.40

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Solution

The fourth proportional to 284,879,201.20, 427,318,801.80 and 281,855,892.40 is: 422,783,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,879,201.20 : 427,318,801.80 = 281,855,892.40 : x
  2. Step 2: Convert to fraction form
    284,879,201.20/427,318,801.80 = 281,855,892.40/x
  3. Step 3: Cross multiply
    284,879,201.20x = 427,318,801.80 × 281,855,892.40
  4. Step 4: Simplify right side
    284,879,201.20x = 120,442,322,220,637,712
  5. Step 5: Solve for x
    x = 120,442,322,220,637,712/284,879,201.20
  6. Step 6: Final answer
    x = 422,783,838.60

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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.