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Finding the Fourth Proportional to 684,292,201.20, 1,026,438,301.80 and 678,245,583.60

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Solution

The fourth proportional to 684,292,201.20, 1,026,438,301.80 and 678,245,583.60 is: 1,017,368,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,292,201.20 : 1,026,438,301.80 = 678,245,583.60 : x
  2. Step 2: Convert to fraction form
    684,292,201.20/1,026,438,301.80 = 678,245,583.60/x
  3. Step 3: Cross multiply
    684,292,201.20x = 1,026,438,301.80 × 678,245,583.60
  4. Step 4: Simplify right side
    684,292,201.20x = 696,177,245,033,733,888
  5. Step 5: Solve for x
    x = 696,177,245,033,733,888/684,292,201.20
  6. Step 6: Final answer
    x = 1,017,368,375.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.