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Finding the Fourth Proportional to 648,660, 972,742.14 and 311,604.60

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Solution

The fourth proportional to 648,660, 972,742.14 and 311,604.60 is: 467,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,660 : 972,742.14 = 311,604.60 : x
  2. Step 2: Convert to fraction form
    648,660/972,742.14 = 311,604.60/x
  3. Step 3: Cross multiply
    648,660x = 972,742.14 × 311,604.60
  4. Step 4: Simplify right side
    648,660x = 303,110,925,437.84
  5. Step 5: Solve for x
    x = 303,110,925,437.84/648,660
  6. Step 6: Final answer
    x = 467,287.83

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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.