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Finding the Fourth Proportional to 208,051.90, 312,077.85 and 202,219.90

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Solution

The fourth proportional to 208,051.90, 312,077.85 and 202,219.90 is: 303,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.90 : 312,077.85 = 202,219.90 : x
  2. Step 2: Convert to fraction form
    208,051.90/312,077.85 = 202,219.90/x
  3. Step 3: Cross multiply
    208,051.90x = 312,077.85 × 202,219.90
  4. Step 4: Simplify right side
    208,051.90x = 63,108,351,619.22
  5. Step 5: Solve for x
    x = 63,108,351,619.22/208,051.90
  6. Step 6: Final answer
    x = 303,329.85

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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.