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Finding the Fourth Proportional to 514,193.70, 771,164.70 and 214,676.76

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Solution

The fourth proportional to 514,193.70, 771,164.70 and 214,676.76 is: 321,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,193.70 : 771,164.70 = 214,676.76 : x
  2. Step 2: Convert to fraction form
    514,193.70/771,164.70 = 214,676.76/x
  3. Step 3: Cross multiply
    514,193.70x = 771,164.70 × 214,676.76
  4. Step 4: Simplify right side
    514,193.70x = 165,551,139,222.37
  5. Step 5: Solve for x
    x = 165,551,139,222.37/514,193.70
  6. Step 6: Final answer
    x = 321,962.60

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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.