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Finding the Fourth Proportional to 257,271.26, 354,914.76 and 166,657.77

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Solution

The fourth proportional to 257,271.26, 354,914.76 and 166,657.77 is: 229,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,271.26 : 354,914.76 = 166,657.77 : x
  2. Step 2: Convert to fraction form
    257,271.26/354,914.76 = 166,657.77/x
  3. Step 3: Cross multiply
    257,271.26x = 354,914.76 × 166,657.77
  4. Step 4: Simplify right side
    257,271.26x = 59,149,303,066.65
  5. Step 5: Solve for x
    x = 59,149,303,066.65/257,271.26
  6. Step 6: Final answer
    x = 229,910.27

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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.