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Finding the Fourth Proportional to 313,490.80, 470,269.08 and 103,145.20

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Solution

The fourth proportional to 313,490.80, 470,269.08 and 103,145.20 is: 154,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,490.80 : 470,269.08 = 103,145.20 : x
  2. Step 2: Convert to fraction form
    313,490.80/470,269.08 = 103,145.20/x
  3. Step 3: Cross multiply
    313,490.80x = 470,269.08 × 103,145.20
  4. Step 4: Simplify right side
    313,490.80x = 48,505,998,310.42
  5. Step 5: Solve for x
    x = 48,505,998,310.42/313,490.80
  6. Step 6: Final answer
    x = 154,728.62

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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.