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Finding the Fourth Proportional to 638,206.56, 957,423.68 and 211,768

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Solution

The fourth proportional to 638,206.56, 957,423.68 and 211,768 is: 317,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,206.56 : 957,423.68 = 211,768 : x
  2. Step 2: Convert to fraction form
    638,206.56/957,423.68 = 211,768/x
  3. Step 3: Cross multiply
    638,206.56x = 957,423.68 × 211,768
  4. Step 4: Simplify right side
    638,206.56x = 202,751,697,866.24
  5. Step 5: Solve for x
    x = 202,751,697,866.24/638,206.56
  6. Step 6: Final answer
    x = 317,689.77

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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.