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Finding the Fourth Proportional to 767,221.72, 1,151,164.48 and 411,820.86

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Solution

The fourth proportional to 767,221.72, 1,151,164.48 and 411,820.86 is: 617,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,221.72 : 1,151,164.48 = 411,820.86 : x
  2. Step 2: Convert to fraction form
    767,221.72/1,151,164.48 = 411,820.86/x
  3. Step 3: Cross multiply
    767,221.72x = 1,151,164.48 × 411,820.86
  4. Step 4: Simplify right side
    767,221.72x = 474,073,544,897.48
  5. Step 5: Solve for x
    x = 474,073,544,897.48/767,221.72
  6. Step 6: Final answer
    x = 617,909.44

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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.