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Finding the Fourth Proportional to 427,248,002.60, 640,872,003.90 and 283,640,834.60

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Solution

The fourth proportional to 427,248,002.60, 640,872,003.90 and 283,640,834.60 is: 425,461,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,248,002.60 : 640,872,003.90 = 283,640,834.60 : x
  2. Step 2: Convert to fraction form
    427,248,002.60/640,872,003.90 = 283,640,834.60/x
  3. Step 3: Cross multiply
    427,248,002.60x = 640,872,003.90 × 283,640,834.60
  4. Step 4: Simplify right side
    427,248,002.60x = 181,777,470,057,970,464
  5. Step 5: Solve for x
    x = 181,777,470,057,970,464/427,248,002.60
  6. Step 6: Final answer
    x = 425,461,251.90

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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.