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Finding the Fourth Proportional to 211,978.87, 317,276.02 and 155,804.11

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Solution

The fourth proportional to 211,978.87, 317,276.02 and 155,804.11 is: 233,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.87 : 317,276.02 = 155,804.11 : x
  2. Step 2: Convert to fraction form
    211,978.87/317,276.02 = 155,804.11/x
  3. Step 3: Cross multiply
    211,978.87x = 317,276.02 × 155,804.11
  4. Step 4: Simplify right side
    211,978.87x = 49,432,907,920.44
  5. Step 5: Solve for x
    x = 49,432,907,920.44/211,978.87
  6. Step 6: Final answer
    x = 233,197.34

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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.