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Finding the Fourth Proportional to 259,431.45, 389,311.20 and 152,815.20

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Solution

The fourth proportional to 259,431.45, 389,311.20 and 152,815.20 is: 229,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,431.45 : 389,311.20 = 152,815.20 : x
  2. Step 2: Convert to fraction form
    259,431.45/389,311.20 = 152,815.20/x
  3. Step 3: Cross multiply
    259,431.45x = 389,311.20 × 152,815.20
  4. Step 4: Simplify right side
    259,431.45x = 59,492,668,890.24
  5. Step 5: Solve for x
    x = 59,492,668,890.24/259,431.45
  6. Step 6: Final answer
    x = 229,319.42

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1.5x scale

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.