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Finding the Fourth Proportional to 213,649.40, 320,480.64 and 73,406

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Solution

The fourth proportional to 213,649.40, 320,480.64 and 73,406 is: 110,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,649.40 : 320,480.64 = 73,406 : x
  2. Step 2: Convert to fraction form
    213,649.40/320,480.64 = 73,406/x
  3. Step 3: Cross multiply
    213,649.40x = 320,480.64 × 73,406
  4. Step 4: Simplify right side
    213,649.40x = 23,525,201,859.84
  5. Step 5: Solve for x
    x = 23,525,201,859.84/213,649.40
  6. Step 6: Final answer
    x = 110,111.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.