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Finding the Fourth Proportional to 501,643.82, 692,843.37 and 330,327.60

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Solution

The fourth proportional to 501,643.82, 692,843.37 and 330,327.60 is: 456,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,643.82 : 692,843.37 = 330,327.60 : x
  2. Step 2: Convert to fraction form
    501,643.82/692,843.37 = 330,327.60/x
  3. Step 3: Cross multiply
    501,643.82x = 692,843.37 × 330,327.60
  4. Step 4: Simplify right side
    501,643.82x = 228,865,289,506.46
  5. Step 5: Solve for x
    x = 228,865,289,506.46/501,643.82
  6. Step 6: Final answer
    x = 456,230.66

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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.