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Finding the Fourth Proportional to 577,920, 797,564.96 and 323,288.32

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Solution

The fourth proportional to 577,920, 797,564.96 and 323,288.32 is: 446,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,920 : 797,564.96 = 323,288.32 : x
  2. Step 2: Convert to fraction form
    577,920/797,564.96 = 323,288.32/x
  3. Step 3: Cross multiply
    577,920x = 797,564.96 × 323,288.32
  4. Step 4: Simplify right side
    577,920x = 257,843,436,009.27
  5. Step 5: Solve for x
    x = 257,843,436,009.27/577,920
  6. Step 6: Final answer
    x = 446,157.66

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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.