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Finding the Fourth Proportional to 213,873.84, 321,225.92 and 157,491.24

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Solution

The fourth proportional to 213,873.84, 321,225.92 and 157,491.24 is: 236,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,873.84 : 321,225.92 = 157,491.24 : x
  2. Step 2: Convert to fraction form
    213,873.84/321,225.92 = 157,491.24/x
  3. Step 3: Cross multiply
    213,873.84x = 321,225.92 × 157,491.24
  4. Step 4: Simplify right side
    213,873.84x = 50,590,268,460.94
  5. Step 5: Solve for x
    x = 50,590,268,460.94/213,873.84
  6. Step 6: Final answer
    x = 236,542.57

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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.