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Finding the Fourth Proportional to 514,318.94, 771,104.74 and 214,885.15

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Solution

The fourth proportional to 514,318.94, 771,104.74 and 214,885.15 is: 322,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,318.94 : 771,104.74 = 214,885.15 : x
  2. Step 2: Convert to fraction form
    514,318.94/771,104.74 = 214,885.15/x
  3. Step 3: Cross multiply
    514,318.94x = 771,104.74 × 214,885.15
  4. Step 4: Simplify right side
    514,318.94x = 165,698,959,648.37
  5. Step 5: Solve for x
    x = 165,698,959,648.37/514,318.94
  6. Step 6: Final answer
    x = 322,171.61

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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.