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Finding the Fourth Proportional to 809,001,965.76, 1,116,414,764.64 and 437,715,850.56

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Solution

The fourth proportional to 809,001,965.76, 1,116,414,764.64 and 437,715,850.56 is: 604,043,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,001,965.76 : 1,116,414,764.64 = 437,715,850.56 : x
  2. Step 2: Convert to fraction form
    809,001,965.76/1,116,414,764.64 = 437,715,850.56/x
  3. Step 3: Cross multiply
    809,001,965.76x = 1,116,414,764.64 × 437,715,850.56
  4. Step 4: Simplify right side
    809,001,965.76x = 488,672,438,282,139,840
  5. Step 5: Solve for x
    x = 488,672,438,282,139,840/809,001,965.76
  6. Step 6: Final answer
    x = 604,043,573.40

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1.5x scale

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.