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Finding the Fourth Proportional to 909,660,644.01, 1,255,331,690.71 and 491,972,929.25

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Solution

The fourth proportional to 909,660,644.01, 1,255,331,690.71 and 491,972,929.25 is: 678,922,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,660,644.01 : 1,255,331,690.71 = 491,972,929.25 : x
  2. Step 2: Convert to fraction form
    909,660,644.01/1,255,331,690.71 = 491,972,929.25/x
  3. Step 3: Cross multiply
    909,660,644.01x = 1,255,331,690.71 × 491,972,929.25
  4. Step 4: Simplify right side
    909,660,644.01x = 617,589,209,056,493,824
  5. Step 5: Solve for x
    x = 617,589,209,056,493,824/909,660,644.01
  6. Step 6: Final answer
    x = 678,922,643.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.