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Finding the Fourth Proportional to 723,135.09, 997,821.54 and 400,845

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Solution

The fourth proportional to 723,135.09, 997,821.54 and 400,845 is: 553,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,135.09 : 997,821.54 = 400,845 : x
  2. Step 2: Convert to fraction form
    723,135.09/997,821.54 = 400,845/x
  3. Step 3: Cross multiply
    723,135.09x = 997,821.54 × 400,845
  4. Step 4: Simplify right side
    723,135.09x = 399,971,775,201.30
  5. Step 5: Solve for x
    x = 399,971,775,201.30/723,135.09
  6. Step 6: Final answer
    x = 553,107.96

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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.