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Finding the Fourth Proportional to 919,991,274.32, 1,269,699,289.80 and 523,610,642

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Solution

The fourth proportional to 919,991,274.32, 1,269,699,289.80 and 523,610,642 is: 722,646,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,991,274.32 : 1,269,699,289.80 = 523,610,642 : x
  2. Step 2: Convert to fraction form
    919,991,274.32/1,269,699,289.80 = 523,610,642/x
  3. Step 3: Cross multiply
    919,991,274.32x = 1,269,699,289.80 × 523,610,642
  4. Step 4: Simplify right side
    919,991,274.32x = 664,828,060,279,122,048
  5. Step 5: Solve for x
    x = 664,828,060,279,122,048/919,991,274.32
  6. Step 6: Final answer
    x = 722,646,049.84

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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.