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Finding the Fourth Proportional to 721,806.14, 996,115.98 and 415,858.50

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Solution

The fourth proportional to 721,806.14, 996,115.98 and 415,858.50 is: 573,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,806.14 : 996,115.98 = 415,858.50 : x
  2. Step 2: Convert to fraction form
    721,806.14/996,115.98 = 415,858.50/x
  3. Step 3: Cross multiply
    721,806.14x = 996,115.98 × 415,858.50
  4. Step 4: Simplify right side
    721,806.14x = 414,243,297,268.83
  5. Step 5: Solve for x
    x = 414,243,297,268.83/721,806.14
  6. Step 6: Final answer
    x = 573,898.27

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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.