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Finding the Fourth Proportional to 782,053,978.80, 1,079,114,518.20 and 451,965,370.80

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Solution

The fourth proportional to 782,053,978.80, 1,079,114,518.20 and 451,965,370.80 is: 623,642,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,053,978.80 : 1,079,114,518.20 = 451,965,370.80 : x
  2. Step 2: Convert to fraction form
    782,053,978.80/1,079,114,518.20 = 451,965,370.80/x
  3. Step 3: Cross multiply
    782,053,978.80x = 1,079,114,518.20 × 451,965,370.80
  4. Step 4: Simplify right side
    782,053,978.80x = 487,722,393,353,926,400
  5. Step 5: Solve for x
    x = 487,722,393,353,926,400/782,053,978.80
  6. Step 6: Final answer
    x = 623,642,877.06

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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.