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Finding the Fourth Proportional to 320,749.08, 480,806.10 and 151,971

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Solution

The fourth proportional to 320,749.08, 480,806.10 and 151,971 is: 227,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,749.08 : 480,806.10 = 151,971 : x
  2. Step 2: Convert to fraction form
    320,749.08/480,806.10 = 151,971/x
  3. Step 3: Cross multiply
    320,749.08x = 480,806.10 × 151,971
  4. Step 4: Simplify right side
    320,749.08x = 73,068,583,823.10
  5. Step 5: Solve for x
    x = 73,068,583,823.10/320,749.08
  6. Step 6: Final answer
    x = 227,806.06

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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.