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Finding the Fourth Proportional to 704,786.72, 972,464.97 and 428,959.82

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Solution

The fourth proportional to 704,786.72, 972,464.97 and 428,959.82 is: 591,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,786.72 : 972,464.97 = 428,959.82 : x
  2. Step 2: Convert to fraction form
    704,786.72/972,464.97 = 428,959.82/x
  3. Step 3: Cross multiply
    704,786.72x = 972,464.97 × 428,959.82
  4. Step 4: Simplify right side
    704,786.72x = 417,148,398,487.51
  5. Step 5: Solve for x
    x = 417,148,398,487.51/704,786.72
  6. Step 6: Final answer
    x = 591,878.91

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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.