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Finding the Fourth Proportional to 257,053.60, 354,683.56 and 161,504.94

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Solution

The fourth proportional to 257,053.60, 354,683.56 and 161,504.94 is: 222,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,053.60 : 354,683.56 = 161,504.94 : x
  2. Step 2: Convert to fraction form
    257,053.60/354,683.56 = 161,504.94/x
  3. Step 3: Cross multiply
    257,053.60x = 354,683.56 × 161,504.94
  4. Step 4: Simplify right side
    257,053.60x = 57,283,146,310.81
  5. Step 5: Solve for x
    x = 57,283,146,310.81/257,053.60
  6. Step 6: Final answer
    x = 222,845.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.