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Finding the Fourth Proportional to 402,632.70, 603,506.19 and 165,846.21

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Solution

The fourth proportional to 402,632.70, 603,506.19 and 165,846.21 is: 248,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,632.70 : 603,506.19 = 165,846.21 : x
  2. Step 2: Convert to fraction form
    402,632.70/603,506.19 = 165,846.21/x
  3. Step 3: Cross multiply
    402,632.70x = 603,506.19 × 165,846.21
  4. Step 4: Simplify right side
    402,632.70x = 100,089,214,323.04
  5. Step 5: Solve for x
    x = 100,089,214,323.04/402,632.70
  6. Step 6: Final answer
    x = 248,586.90

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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.