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Finding the Fourth Proportional to 208,052.40, 312,078.60 and 202,220.40

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Solution

The fourth proportional to 208,052.40, 312,078.60 and 202,220.40 is: 303,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052.40 : 312,078.60 = 202,220.40 : x
  2. Step 2: Convert to fraction form
    208,052.40/312,078.60 = 202,220.40/x
  3. Step 3: Cross multiply
    208,052.40x = 312,078.60 × 202,220.40
  4. Step 4: Simplify right side
    208,052.40x = 63,108,659,323.44
  5. Step 5: Solve for x
    x = 63,108,659,323.44/208,052.40
  6. Step 6: Final answer
    x = 303,330.60

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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.