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Finding the Fourth Proportional to 729,195,649.44, 1,006,296,720 and 431,854,803.60

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Solution

The fourth proportional to 729,195,649.44, 1,006,296,720 and 431,854,803.60 is: 595,963,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,195,649.44 : 1,006,296,720 = 431,854,803.60 : x
  2. Step 2: Convert to fraction form
    729,195,649.44/1,006,296,720 = 431,854,803.60/x
  3. Step 3: Cross multiply
    729,195,649.44x = 1,006,296,720 × 431,854,803.60
  4. Step 4: Simplify right side
    729,195,649.44x = 434,574,072,378,924,224
  5. Step 5: Solve for x
    x = 434,574,072,378,924,224/729,195,649.44
  6. Step 6: Final answer
    x = 595,963,611.02

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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.