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Finding the Fourth Proportional to 514,188.45, 771,156.83 and 214,671.51

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Solution

The fourth proportional to 514,188.45, 771,156.83 and 214,671.51 is: 321,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,188.45 : 771,156.83 = 214,671.51 : x
  2. Step 2: Convert to fraction form
    514,188.45/771,156.83 = 214,671.51/x
  3. Step 3: Cross multiply
    514,188.45x = 771,156.83 × 214,671.51
  4. Step 4: Simplify right side
    514,188.45x = 165,545,400,069.56
  5. Step 5: Solve for x
    x = 165,545,400,069.56/514,188.45
  6. Step 6: Final answer
    x = 321,954.72

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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.