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Finding the Fourth Proportional to 208,059.80, 312,089.70 and 193,314.20

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Solution

The fourth proportional to 208,059.80, 312,089.70 and 193,314.20 is: 289,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.80 : 312,089.70 = 193,314.20 : x
  2. Step 2: Convert to fraction form
    208,059.80/312,089.70 = 193,314.20/x
  3. Step 3: Cross multiply
    208,059.80x = 312,089.70 × 193,314.20
  4. Step 4: Simplify right side
    208,059.80x = 60,331,370,683.74
  5. Step 5: Solve for x
    x = 60,331,370,683.74/208,059.80
  6. Step 6: Final answer
    x = 289,971.30

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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.