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Finding the Fourth Proportional to 396,955.40, 595,433.10 and 147,585.80

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Solution

The fourth proportional to 396,955.40, 595,433.10 and 147,585.80 is: 221,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,955.40 : 595,433.10 = 147,585.80 : x
  2. Step 2: Convert to fraction form
    396,955.40/595,433.10 = 147,585.80/x
  3. Step 3: Cross multiply
    396,955.40x = 595,433.10 × 147,585.80
  4. Step 4: Simplify right side
    396,955.40x = 87,877,470,409.98
  5. Step 5: Solve for x
    x = 87,877,470,409.98/396,955.40
  6. Step 6: Final answer
    x = 221,378.70

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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.