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Finding the Fourth Proportional to 457,590.69, 686,170.89 and 169,203.08

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Solution

The fourth proportional to 457,590.69, 686,170.89 and 169,203.08 is: 253,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,590.69 : 686,170.89 = 169,203.08 : x
  2. Step 2: Convert to fraction form
    457,590.69/686,170.89 = 169,203.08/x
  3. Step 3: Cross multiply
    457,590.69x = 686,170.89 × 169,203.08
  4. Step 4: Simplify right side
    457,590.69x = 116,102,224,563.49
  5. Step 5: Solve for x
    x = 116,102,224,563.49/457,590.69
  6. Step 6: Final answer
    x = 253,725.06

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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.