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Finding the Fourth Proportional to 256,635,702, 384,799,819.66 and 81,683,164.53

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Solution

The fourth proportional to 256,635,702, 384,799,819.66 and 81,683,164.53 is: 122,475,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,635,702 : 384,799,819.66 = 81,683,164.53 : x
  2. Step 2: Convert to fraction form
    256,635,702/384,799,819.66 = 81,683,164.53/x
  3. Step 3: Cross multiply
    256,635,702x = 384,799,819.66 × 81,683,164.53
  4. Step 4: Simplify right side
    256,635,702x = 31,431,666,980,197,904
  5. Step 5: Solve for x
    x = 31,431,666,980,197,904/256,635,702
  6. Step 6: Final answer
    x = 122,475,815.86

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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.