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Finding the Fourth Proportional to 514,351.81, 771,153.90 and 214,918.10

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Solution

The fourth proportional to 514,351.81, 771,153.90 and 214,918.10 is: 322,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,351.81 : 771,153.90 = 214,918.10 : x
  2. Step 2: Convert to fraction form
    514,351.81/771,153.90 = 214,918.10/x
  3. Step 3: Cross multiply
    514,351.81x = 771,153.90 × 214,918.10
  4. Step 4: Simplify right side
    514,351.81x = 165,734,930,995.59
  5. Step 5: Solve for x
    x = 165,734,930,995.59/514,351.81
  6. Step 6: Final answer
    x = 322,220.95

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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.