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Finding the Fourth Proportional to 313,683.80, 470,525.70 and 103,328.60

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Solution

The fourth proportional to 313,683.80, 470,525.70 and 103,328.60 is: 154,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,683.80 : 470,525.70 = 103,328.60 : x
  2. Step 2: Convert to fraction form
    313,683.80/470,525.70 = 103,328.60/x
  3. Step 3: Cross multiply
    313,683.80x = 470,525.70 × 103,328.60
  4. Step 4: Simplify right side
    313,683.80x = 48,618,761,845.02
  5. Step 5: Solve for x
    x = 48,618,761,845.02/313,683.80
  6. Step 6: Final answer
    x = 154,992.90

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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.