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Finding the Fourth Proportional to 704,786.22, 972,464.28 and 428,959.32

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Solution

The fourth proportional to 704,786.22, 972,464.28 and 428,959.32 is: 591,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,786.22 : 972,464.28 = 428,959.32 : x
  2. Step 2: Convert to fraction form
    704,786.22/972,464.28 = 428,959.32/x
  3. Step 3: Cross multiply
    704,786.22x = 972,464.28 × 428,959.32
  4. Step 4: Simplify right side
    704,786.22x = 417,147,616,273.09
  5. Step 5: Solve for x
    x = 417,147,616,273.09/704,786.22
  6. Step 6: Final answer
    x = 591,878.22

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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.