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Finding the Fourth Proportional to 647,216.30, 893,162.64 and 360,754.55

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Solution

The fourth proportional to 647,216.30, 893,162.64 and 360,754.55 is: 497,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,216.30 : 893,162.64 = 360,754.55 : x
  2. Step 2: Convert to fraction form
    647,216.30/893,162.64 = 360,754.55/x
  3. Step 3: Cross multiply
    647,216.30x = 893,162.64 × 360,754.55
  4. Step 4: Simplify right side
    647,216.30x = 322,212,486,270.01
  5. Step 5: Solve for x
    x = 322,212,486,270.01/647,216.30
  6. Step 6: Final answer
    x = 497,843.59

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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.