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Finding the Fourth Proportional to 609,759,114.80, 914,638,672.20 and 438,847,689.20

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Solution

The fourth proportional to 609,759,114.80, 914,638,672.20 and 438,847,689.20 is: 658,271,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,759,114.80 : 914,638,672.20 = 438,847,689.20 : x
  2. Step 2: Convert to fraction form
    609,759,114.80/914,638,672.20 = 438,847,689.20/x
  3. Step 3: Cross multiply
    609,759,114.80x = 914,638,672.20 × 438,847,689.20
  4. Step 4: Simplify right side
    609,759,114.80x = 401,387,067,747,926,272
  5. Step 5: Solve for x
    x = 401,387,067,747,926,272/609,759,114.80
  6. Step 6: Final answer
    x = 658,271,533.80

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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.