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Finding the Fourth Proportional to 208,085.80, 312,128.70 and 190,882.60

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Solution

The fourth proportional to 208,085.80, 312,128.70 and 190,882.60 is: 286,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085.80 : 312,128.70 = 190,882.60 : x
  2. Step 2: Convert to fraction form
    208,085.80/312,128.70 = 190,882.60/x
  3. Step 3: Cross multiply
    208,085.80x = 312,128.70 × 190,882.60
  4. Step 4: Simplify right side
    208,085.80x = 59,579,937,790.62
  5. Step 5: Solve for x
    x = 59,579,937,790.62/208,085.80
  6. Step 6: Final answer
    x = 286,323.90

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1.5x scale

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.