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Finding the Fourth Proportional to 721,808.66, 996,119.44 and 415,861

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Solution

The fourth proportional to 721,808.66, 996,119.44 and 415,861 is: 573,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,808.66 : 996,119.44 = 415,861 : x
  2. Step 2: Convert to fraction form
    721,808.66/996,119.44 = 415,861/x
  3. Step 3: Cross multiply
    721,808.66x = 996,119.44 × 415,861
  4. Step 4: Simplify right side
    721,808.66x = 414,247,226,437.84
  5. Step 5: Solve for x
    x = 414,247,226,437.84/721,808.66
  6. Step 6: Final answer
    x = 573,901.71

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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.