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Finding the Fourth Proportional to 384,453.77, 530,551.14 and 212,371.05

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Solution

The fourth proportional to 384,453.77, 530,551.14 and 212,371.05 is: 293,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,453.77 : 530,551.14 = 212,371.05 : x
  2. Step 2: Convert to fraction form
    384,453.77/530,551.14 = 212,371.05/x
  3. Step 3: Cross multiply
    384,453.77x = 530,551.14 × 212,371.05
  4. Step 4: Simplify right side
    384,453.77x = 112,673,699,695.54
  5. Step 5: Solve for x
    x = 112,673,699,695.54/384,453.77
  6. Step 6: Final answer
    x = 293,074.77

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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.