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Finding the Fourth Proportional to 287,467,213.80, 431,200,820.70 and 80,205,223.80

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Solution

The fourth proportional to 287,467,213.80, 431,200,820.70 and 80,205,223.80 is: 120,307,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,467,213.80 : 431,200,820.70 = 80,205,223.80 : x
  2. Step 2: Convert to fraction form
    287,467,213.80/431,200,820.70 = 80,205,223.80/x
  3. Step 3: Cross multiply
    287,467,213.80x = 431,200,820.70 × 80,205,223.80
  4. Step 4: Simplify right side
    287,467,213.80x = 34,584,558,326,987,172
  5. Step 5: Solve for x
    x = 34,584,558,326,987,172/287,467,213.80
  6. Step 6: Final answer
    x = 120,307,835.70

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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.