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Finding the Fourth Proportional to 207,938.40, 311,907.60 and 186,165.60

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Solution

The fourth proportional to 207,938.40, 311,907.60 and 186,165.60 is: 279,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,938.40 : 311,907.60 = 186,165.60 : x
  2. Step 2: Convert to fraction form
    207,938.40/311,907.60 = 186,165.60/x
  3. Step 3: Cross multiply
    207,938.40x = 311,907.60 × 186,165.60
  4. Step 4: Simplify right side
    207,938.40x = 58,066,465,498.56
  5. Step 5: Solve for x
    x = 58,066,465,498.56/207,938.40
  6. Step 6: Final answer
    x = 279,248.40

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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.