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Finding the Fourth Proportional to 213,492.78, 320,227.63 and 108,309.02

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Solution

The fourth proportional to 213,492.78, 320,227.63 and 108,309.02 is: 162,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,492.78 : 320,227.63 = 108,309.02 : x
  2. Step 2: Convert to fraction form
    213,492.78/320,227.63 = 108,309.02/x
  3. Step 3: Cross multiply
    213,492.78x = 320,227.63 × 108,309.02
  4. Step 4: Simplify right side
    213,492.78x = 34,683,538,910.31
  5. Step 5: Solve for x
    x = 34,683,538,910.31/213,492.78
  6. Step 6: Final answer
    x = 162,457.67

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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.