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Finding the Fourth Proportional to 317,131.86, 474,764.67 and 211,689.30

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Solution

The fourth proportional to 317,131.86, 474,764.67 and 211,689.30 is: 316,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,131.86 : 474,764.67 = 211,689.30 : x
  2. Step 2: Convert to fraction form
    317,131.86/474,764.67 = 211,689.30/x
  3. Step 3: Cross multiply
    317,131.86x = 474,764.67 × 211,689.30
  4. Step 4: Simplify right side
    317,131.86x = 100,502,600,657.03
  5. Step 5: Solve for x
    x = 100,502,600,657.03/317,131.86
  6. Step 6: Final answer
    x = 316,911.08

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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.