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Finding the Fourth Proportional to 770,614,986.74, 1,063,449,367.54 and 418,190,978.42

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Solution

The fourth proportional to 770,614,986.74, 1,063,449,367.54 and 418,190,978.42 is: 577,103,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,614,986.74 : 1,063,449,367.54 = 418,190,978.42 : x
  2. Step 2: Convert to fraction form
    770,614,986.74/1,063,449,367.54 = 418,190,978.42/x
  3. Step 3: Cross multiply
    770,614,986.74x = 1,063,449,367.54 × 418,190,978.42
  4. Step 4: Simplify right side
    770,614,986.74x = 444,724,931,505,320,128
  5. Step 5: Solve for x
    x = 444,724,931,505,320,128/770,614,986.74
  6. Step 6: Final answer
    x = 577,103,922.40

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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.