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Finding the Fourth Proportional to 722,969.21, 997,697.49 and 400,727.72

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Solution

The fourth proportional to 722,969.21, 997,697.49 and 400,727.72 is: 553,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,969.21 : 997,697.49 = 400,727.72 : x
  2. Step 2: Convert to fraction form
    722,969.21/997,697.49 = 400,727.72/x
  3. Step 3: Cross multiply
    722,969.21x = 997,697.49 × 400,727.72
  4. Step 4: Simplify right side
    722,969.21x = 399,805,040,417.42
  5. Step 5: Solve for x
    x = 399,805,040,417.42/722,969.21
  6. Step 6: Final answer
    x = 553,004.24

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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.