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Finding the Fourth Proportional to 387,461.71, 580,914.80 and 182,181.47

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Solution

The fourth proportional to 387,461.71, 580,914.80 and 182,181.47 is: 273,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,461.71 : 580,914.80 = 182,181.47 : x
  2. Step 2: Convert to fraction form
    387,461.71/580,914.80 = 182,181.47/x
  3. Step 3: Cross multiply
    387,461.71x = 580,914.80 × 182,181.47
  4. Step 4: Simplify right side
    387,461.71x = 105,831,909,076.46
  5. Step 5: Solve for x
    x = 105,831,909,076.46/387,461.71
  6. Step 6: Final answer
    x = 273,141.59

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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.