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Finding the Fourth Proportional to 313,651.72, 470,422.05 and 142,834.30

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Solution

The fourth proportional to 313,651.72, 470,422.05 and 142,834.30 is: 214,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,651.72 : 470,422.05 = 142,834.30 : x
  2. Step 2: Convert to fraction form
    313,651.72/470,422.05 = 142,834.30/x
  3. Step 3: Cross multiply
    313,651.72x = 470,422.05 × 142,834.30
  4. Step 4: Simplify right side
    313,651.72x = 67,192,404,216.32
  5. Step 5: Solve for x
    x = 67,192,404,216.32/313,651.72
  6. Step 6: Final answer
    x = 214,226.16

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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.