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Finding the Fourth Proportional to 427,222, 640,973.27 and 174,714.85

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Solution

The fourth proportional to 427,222, 640,973.27 and 174,714.85 is: 262,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,222 : 640,973.27 = 174,714.85 : x
  2. Step 2: Convert to fraction form
    427,222/640,973.27 = 174,714.85/x
  3. Step 3: Cross multiply
    427,222x = 640,973.27 × 174,714.85
  4. Step 4: Simplify right side
    427,222x = 111,987,548,722.06
  5. Step 5: Solve for x
    x = 111,987,548,722.06/427,222
  6. Step 6: Final answer
    x = 262,129.64

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1.5x scale

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.