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Finding the Fourth Proportional to 257,579.63, 355,151.00 and 166,902.51

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Solution

The fourth proportional to 257,579.63, 355,151.00 and 166,902.51 is: 230,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,579.63 : 355,151.00 = 166,902.51 : x
  2. Step 2: Convert to fraction form
    257,579.63/355,151.00 = 166,902.51/x
  3. Step 3: Cross multiply
    257,579.63x = 355,151.00 × 166,902.51
  4. Step 4: Simplify right side
    257,579.63x = 59,275,592,494.50
  5. Step 5: Solve for x
    x = 59,275,592,494.50/257,579.63
  6. Step 6: Final answer
    x = 230,125.31

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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.