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Finding the Fourth Proportional to 561,184, 774,456.96 and 322,720

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Solution

The fourth proportional to 561,184, 774,456.96 and 322,720 is: 445,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,184 : 774,456.96 = 322,720 : x
  2. Step 2: Convert to fraction form
    561,184/774,456.96 = 322,720/x
  3. Step 3: Cross multiply
    561,184x = 774,456.96 × 322,720
  4. Step 4: Simplify right side
    561,184x = 249,932,750,131.20
  5. Step 5: Solve for x
    x = 249,932,750,131.20/561,184
  6. Step 6: Final answer
    x = 445,366.85

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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.