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Finding the Fourth Proportional to 384,743, 530,935.44 and 214,978.52

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Solution

The fourth proportional to 384,743, 530,935.44 and 214,978.52 is: 296,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,743 : 530,935.44 = 214,978.52 : x
  2. Step 2: Convert to fraction form
    384,743/530,935.44 = 214,978.52/x
  3. Step 3: Cross multiply
    384,743x = 530,935.44 × 214,978.52
  4. Step 4: Simplify right side
    384,743x = 114,139,715,106.75
  5. Step 5: Solve for x
    x = 114,139,715,106.75/384,743
  6. Step 6: Final answer
    x = 296,664.83

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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.