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Finding the Fourth Proportional to 381,545,612.80, 572,318,419.20 and 320,323,609.60

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Solution

The fourth proportional to 381,545,612.80, 572,318,419.20 and 320,323,609.60 is: 480,485,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,545,612.80 : 572,318,419.20 = 320,323,609.60 : x
  2. Step 2: Convert to fraction form
    381,545,612.80/572,318,419.20 = 320,323,609.60/x
  3. Step 3: Cross multiply
    381,545,612.80x = 572,318,419.20 × 320,323,609.60
  4. Step 4: Simplify right side
    381,545,612.80x = 183,327,101,878,709,984
  5. Step 5: Solve for x
    x = 183,327,101,878,709,984/381,545,612.80
  6. Step 6: Final answer
    x = 480,485,414.40

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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.