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Finding the Fourth Proportional to 259,024.40, 388,709.40 and 146,704.40

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Solution

The fourth proportional to 259,024.40, 388,709.40 and 146,704.40 is: 220,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,024.40 : 388,709.40 = 146,704.40 : x
  2. Step 2: Convert to fraction form
    259,024.40/388,709.40 = 146,704.40/x
  3. Step 3: Cross multiply
    259,024.40x = 388,709.40 × 146,704.40
  4. Step 4: Simplify right side
    259,024.40x = 57,025,379,301.36
  5. Step 5: Solve for x
    x = 57,025,379,301.36/259,024.40
  6. Step 6: Final answer
    x = 220,154.47

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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.