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Finding the Fourth Proportional to 284,951,781.60, 427,427,672.40 and 164,019,429.60

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Solution

The fourth proportional to 284,951,781.60, 427,427,672.40 and 164,019,429.60 is: 246,029,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,951,781.60 : 427,427,672.40 = 164,019,429.60 : x
  2. Step 2: Convert to fraction form
    284,951,781.60/427,427,672.40 = 164,019,429.60/x
  3. Step 3: Cross multiply
    284,951,781.60x = 427,427,672.40 × 164,019,429.60
  4. Step 4: Simplify right side
    284,951,781.60x = 70,106,443,022,303,656
  5. Step 5: Solve for x
    x = 70,106,443,022,303,656/284,951,781.60
  6. Step 6: Final answer
    x = 246,029,144.40

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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.