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Finding the Fourth Proportional to 208,094.40, 311,450.40 and 145,886.40

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Solution

The fourth proportional to 208,094.40, 311,450.40 and 145,886.40 is: 218,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,094.40 : 311,450.40 = 145,886.40 : x
  2. Step 2: Convert to fraction form
    208,094.40/311,450.40 = 145,886.40/x
  3. Step 3: Cross multiply
    208,094.40x = 311,450.40 × 145,886.40
  4. Step 4: Simplify right side
    208,094.40x = 45,436,377,634.56
  5. Step 5: Solve for x
    x = 45,436,377,634.56/208,094.40
  6. Step 6: Final answer
    x = 218,345.03

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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.