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Finding the Fourth Proportional to 498,918.92, 748,911.20 and 214,750.22

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Solution

The fourth proportional to 498,918.92, 748,911.20 and 214,750.22 is: 322,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,918.92 : 748,911.20 = 214,750.22 : x
  2. Step 2: Convert to fraction form
    498,918.92/748,911.20 = 214,750.22/x
  3. Step 3: Cross multiply
    498,918.92x = 748,911.20 × 214,750.22
  4. Step 4: Simplify right side
    498,918.92x = 160,828,844,960.46
  5. Step 5: Solve for x
    x = 160,828,844,960.46/498,918.92
  6. Step 6: Final answer
    x = 322,354.67

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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.