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Finding the Fourth Proportional to 211,927.20, 317,890.80 and 177,712.80

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Solution

The fourth proportional to 211,927.20, 317,890.80 and 177,712.80 is: 266,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,927.20 : 317,890.80 = 177,712.80 : x
  2. Step 2: Convert to fraction form
    211,927.20/317,890.80 = 177,712.80/x
  3. Step 3: Cross multiply
    211,927.20x = 317,890.80 × 177,712.80
  4. Step 4: Simplify right side
    211,927.20x = 56,493,264,162.24
  5. Step 5: Solve for x
    x = 56,493,264,162.24/211,927.20
  6. Step 6: Final answer
    x = 266,569.20

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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.