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Finding the Fourth Proportional to 311,146.80, 465,683.40 and 286,263.60

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Solution

The fourth proportional to 311,146.80, 465,683.40 and 286,263.60 is: 428,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,146.80 : 465,683.40 = 286,263.60 : x
  2. Step 2: Convert to fraction form
    311,146.80/465,683.40 = 286,263.60/x
  3. Step 3: Cross multiply
    311,146.80x = 465,683.40 × 286,263.60
  4. Step 4: Simplify right side
    311,146.80x = 133,308,206,544.24
  5. Step 5: Solve for x
    x = 133,308,206,544.24/311,146.80
  6. Step 6: Final answer
    x = 428,441.52

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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.