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Finding the Fourth Proportional to 211,810.80, 317,716.32 and 132,980.40

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Solution

The fourth proportional to 211,810.80, 317,716.32 and 132,980.40 is: 199,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,810.80 : 317,716.32 = 132,980.40 : x
  2. Step 2: Convert to fraction form
    211,810.80/317,716.32 = 132,980.40/x
  3. Step 3: Cross multiply
    211,810.80x = 317,716.32 × 132,980.40
  4. Step 4: Simplify right side
    211,810.80x = 42,250,043,320.13
  5. Step 5: Solve for x
    x = 42,250,043,320.13/211,810.80
  6. Step 6: Final answer
    x = 199,470.68

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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.