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Finding the Fourth Proportional to 777,687,826, 1,072,703,517 and 498,787,589.20

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Solution

The fourth proportional to 777,687,826, 1,072,703,517 and 498,787,589.20 is: 688,002,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,687,826 : 1,072,703,517 = 498,787,589.20 : x
  2. Step 2: Convert to fraction form
    777,687,826/1,072,703,517 = 498,787,589.20/x
  3. Step 3: Cross multiply
    777,687,826x = 1,072,703,517 × 498,787,589.20
  4. Step 4: Simplify right side
    777,687,826x = 535,051,201,170,791,232
  5. Step 5: Solve for x
    x = 535,051,201,170,791,232/777,687,826
  6. Step 6: Final answer
    x = 688,002,542.00

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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.