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Finding the Fourth Proportional to 719,732, 993,317.64 and 417,926

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Solution

The fourth proportional to 719,732, 993,317.64 and 417,926 is: 576,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,732 : 993,317.64 = 417,926 : x
  2. Step 2: Convert to fraction form
    719,732/993,317.64 = 417,926/x
  3. Step 3: Cross multiply
    719,732x = 993,317.64 × 417,926
  4. Step 4: Simplify right side
    719,732x = 415,133,268,014.64
  5. Step 5: Solve for x
    x = 415,133,268,014.64/719,732
  6. Step 6: Final answer
    x = 576,788.68

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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.