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Finding the Fourth Proportional to 886,233,784.08, 1,328,162,405.94 and 689,734,475.40

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Solution

The fourth proportional to 886,233,784.08, 1,328,162,405.94 and 689,734,475.40 is: 1,033,676,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,233,784.08 : 1,328,162,405.94 = 689,734,475.40 : x
  2. Step 2: Convert to fraction form
    886,233,784.08/1,328,162,405.94 = 689,734,475.40/x
  3. Step 3: Cross multiply
    886,233,784.08x = 1,328,162,405.94 × 689,734,475.40
  4. Step 4: Simplify right side
    886,233,784.08x = 916,079,400,307,027,712
  5. Step 5: Solve for x
    x = 916,079,400,307,027,712/886,233,784.08
  6. Step 6: Final answer
    x = 1,033,676,910.95

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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.