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Finding the Fourth Proportional to 345,040.40, 476,154.78 and 194,137.40

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Solution

The fourth proportional to 345,040.40, 476,154.78 and 194,137.40 is: 267,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,040.40 : 476,154.78 = 194,137.40 : x
  2. Step 2: Convert to fraction form
    345,040.40/476,154.78 = 194,137.40/x
  3. Step 3: Cross multiply
    345,040.40x = 476,154.78 × 194,137.40
  4. Step 4: Simplify right side
    345,040.40x = 92,439,450,986.77
  5. Step 5: Solve for x
    x = 92,439,450,986.77/345,040.40
  6. Step 6: Final answer
    x = 267,909.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.