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Finding the Fourth Proportional to 809,858,892, 1,117,599,706.56 and 438,572,426.88

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Solution

The fourth proportional to 809,858,892, 1,117,599,706.56 and 438,572,426.88 is: 605,226,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,858,892 : 1,117,599,706.56 = 438,572,426.88 : x
  2. Step 2: Convert to fraction form
    809,858,892/1,117,599,706.56 = 438,572,426.88/x
  3. Step 3: Cross multiply
    809,858,892x = 1,117,599,706.56 × 438,572,426.88
  4. Step 4: Simplify right side
    809,858,892x = 490,148,415,586,395,008
  5. Step 5: Solve for x
    x = 490,148,415,586,395,008/809,858,892
  6. Step 6: Final answer
    x = 605,226,935.74

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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.