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Finding the Fourth Proportional to 471,834.37, 651,564.17 and 299,809

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Solution

The fourth proportional to 471,834.37, 651,564.17 and 299,809 is: 414,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,834.37 : 651,564.17 = 299,809 : x
  2. Step 2: Convert to fraction form
    471,834.37/651,564.17 = 299,809/x
  3. Step 3: Cross multiply
    471,834.37x = 651,564.17 × 299,809
  4. Step 4: Simplify right side
    471,834.37x = 195,344,802,243.53
  5. Step 5: Solve for x
    x = 195,344,802,243.53/471,834.37
  6. Step 6: Final answer
    x = 414,011.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.