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Finding the Fourth Proportional to 498,221.40, 747,450.74 and 161,262.11

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Solution

The fourth proportional to 498,221.40, 747,450.74 and 161,262.11 is: 241,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,221.40 : 747,450.74 = 161,262.11 : x
  2. Step 2: Convert to fraction form
    498,221.40/747,450.74 = 161,262.11/x
  3. Step 3: Cross multiply
    498,221.40x = 747,450.74 × 161,262.11
  4. Step 4: Simplify right side
    498,221.40x = 120,535,483,453.46
  5. Step 5: Solve for x
    x = 120,535,483,453.46/498,221.40
  6. Step 6: Final answer
    x = 241,931.57

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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.