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Finding the Fourth Proportional to 457,595.21, 685,908.86 and 169,221.54

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Solution

The fourth proportional to 457,595.21, 685,908.86 and 169,221.54 is: 253,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,595.21 : 685,908.86 = 169,221.54 : x
  2. Step 2: Convert to fraction form
    457,595.21/685,908.86 = 169,221.54/x
  3. Step 3: Cross multiply
    457,595.21x = 685,908.86 × 169,221.54
  4. Step 4: Simplify right side
    457,595.21x = 116,070,553,588.84
  5. Step 5: Solve for x
    x = 116,070,553,588.84/457,595.21
  6. Step 6: Final answer
    x = 253,653.34

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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.