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Finding the Fourth Proportional to 213,642.24, 320,480.64 and 73,400.64

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Solution

The fourth proportional to 213,642.24, 320,480.64 and 73,400.64 is: 110,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,642.24 : 320,480.64 = 73,400.64 : x
  2. Step 2: Convert to fraction form
    213,642.24/320,480.64 = 73,400.64/x
  3. Step 3: Cross multiply
    213,642.24x = 320,480.64 × 73,400.64
  4. Step 4: Simplify right side
    213,642.24x = 23,523,484,083.61
  5. Step 5: Solve for x
    x = 23,523,484,083.61/213,642.24
  6. Step 6: Final answer
    x = 110,106.90

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1.5x scale

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.