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Finding the Fourth Proportional to 643,459.82, 965,353.76 and 454,288.77

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Solution

The fourth proportional to 643,459.82, 965,353.76 and 454,288.77 is: 681,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,459.82 : 965,353.76 = 454,288.77 : x
  2. Step 2: Convert to fraction form
    643,459.82/965,353.76 = 454,288.77/x
  3. Step 3: Cross multiply
    643,459.82x = 965,353.76 × 454,288.77
  4. Step 4: Simplify right side
    643,459.82x = 438,549,368,243.66
  5. Step 5: Solve for x
    x = 438,549,368,243.66/643,459.82
  6. Step 6: Final answer
    x = 681,548.95

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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.