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Finding the Fourth Proportional to 824,074, 1,134,578.44 and 642,553

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Solution

The fourth proportional to 824,074, 1,134,578.44 and 642,553 is: 884,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,074 : 1,134,578.44 = 642,553 : x
  2. Step 2: Convert to fraction form
    824,074/1,134,578.44 = 642,553/x
  3. Step 3: Cross multiply
    824,074x = 1,134,578.44 × 642,553
  4. Step 4: Simplify right side
    824,074x = 729,026,780,357.32
  5. Step 5: Solve for x
    x = 729,026,780,357.32/824,074
  6. Step 6: Final answer
    x = 884,661.79

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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.