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Finding the Fourth Proportional to 699,372,978.59, 965,129,713.49 and 381,833,214.59

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Solution

The fourth proportional to 699,372,978.59, 965,129,713.49 and 381,833,214.59 is: 526,927,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,372,978.59 : 965,129,713.49 = 381,833,214.59 : x
  2. Step 2: Convert to fraction form
    699,372,978.59/965,129,713.49 = 381,833,214.59/x
  3. Step 3: Cross multiply
    699,372,978.59x = 965,129,713.49 × 381,833,214.59
  4. Step 4: Simplify right side
    699,372,978.59x = 368,518,580,993,386,752
  5. Step 5: Solve for x
    x = 368,518,580,993,386,752/699,372,978.59
  6. Step 6: Final answer
    x = 526,927,107.96

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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.