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Finding the Fourth Proportional to 314,399.44, 471,438.94 and 154,486

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Solution

The fourth proportional to 314,399.44, 471,438.94 and 154,486 is: 231,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,399.44 : 471,438.94 = 154,486 : x
  2. Step 2: Convert to fraction form
    314,399.44/471,438.94 = 154,486/x
  3. Step 3: Cross multiply
    314,399.44x = 471,438.94 × 154,486
  4. Step 4: Simplify right side
    314,399.44x = 72,830,716,084.84
  5. Step 5: Solve for x
    x = 72,830,716,084.84/314,399.44
  6. Step 6: Final answer
    x = 231,650.27

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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.