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Finding the Fourth Proportional to 638,208.56, 957,426.68 and 211,770

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Solution

The fourth proportional to 638,208.56, 957,426.68 and 211,770 is: 317,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,208.56 : 957,426.68 = 211,770 : x
  2. Step 2: Convert to fraction form
    638,208.56/957,426.68 = 211,770/x
  3. Step 3: Cross multiply
    638,208.56x = 957,426.68 × 211,770
  4. Step 4: Simplify right side
    638,208.56x = 202,754,248,023.60
  5. Step 5: Solve for x
    x = 202,754,248,023.60/638,208.56
  6. Step 6: Final answer
    x = 317,692.77

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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.