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Finding the Fourth Proportional to 384,352.12, 530,371.02 and 214,555

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Solution

The fourth proportional to 384,352.12, 530,371.02 and 214,555 is: 296,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,352.12 : 530,371.02 = 214,555 : x
  2. Step 2: Convert to fraction form
    384,352.12/530,371.02 = 214,555/x
  3. Step 3: Cross multiply
    384,352.12x = 530,371.02 × 214,555
  4. Step 4: Simplify right side
    384,352.12x = 113,793,754,196.10
  5. Step 5: Solve for x
    x = 113,793,754,196.10/384,352.12
  6. Step 6: Final answer
    x = 296,066.41

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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.