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Finding the Fourth Proportional to 257,365.22, 355,177.06 and 148,429.02

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Solution

The fourth proportional to 257,365.22, 355,177.06 and 148,429.02 is: 204,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,365.22 : 355,177.06 = 148,429.02 : x
  2. Step 2: Convert to fraction form
    257,365.22/355,177.06 = 148,429.02/x
  3. Step 3: Cross multiply
    257,365.22x = 355,177.06 × 148,429.02
  4. Step 4: Simplify right side
    257,365.22x = 52,718,582,942.28
  5. Step 5: Solve for x
    x = 52,718,582,942.28/257,365.22
  6. Step 6: Final answer
    x = 204,839.58

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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.