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Finding the Fourth Proportional to 384,605.81, 530,755.99 and 214,839.93

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Solution

The fourth proportional to 384,605.81, 530,755.99 and 214,839.93 is: 296,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,605.81 : 530,755.99 = 214,839.93 : x
  2. Step 2: Convert to fraction form
    384,605.81/530,755.99 = 214,839.93/x
  3. Step 3: Cross multiply
    384,605.81x = 530,755.99 × 214,839.93
  4. Step 4: Simplify right side
    384,605.81x = 114,027,579,201.58
  5. Step 5: Solve for x
    x = 114,027,579,201.58/384,605.81
  6. Step 6: Final answer
    x = 296,479.09

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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.