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Finding the Fourth Proportional to 211,390.61, 317,443.11 and 209,757.65

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Solution

The fourth proportional to 211,390.61, 317,443.11 and 209,757.65 is: 314,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,390.61 : 317,443.11 = 209,757.65 : x
  2. Step 2: Convert to fraction form
    211,390.61/317,443.11 = 209,757.65/x
  3. Step 3: Cross multiply
    211,390.61x = 317,443.11 × 209,757.65
  4. Step 4: Simplify right side
    211,390.61x = 66,586,119,175.08
  5. Step 5: Solve for x
    x = 66,586,119,175.08/211,390.61
  6. Step 6: Final answer
    x = 314,990.91

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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.