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Finding the Fourth Proportional to 470,131.60, 705,125.40 and 154,589.20

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Solution

The fourth proportional to 470,131.60, 705,125.40 and 154,589.20 is: 231,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,131.60 : 705,125.40 = 154,589.20 : x
  2. Step 2: Convert to fraction form
    470,131.60/705,125.40 = 154,589.20/x
  3. Step 3: Cross multiply
    470,131.60x = 705,125.40 × 154,589.20
  4. Step 4: Simplify right side
    470,131.60x = 109,004,771,485.68
  5. Step 5: Solve for x
    x = 109,004,771,485.68/470,131.60
  6. Step 6: Final answer
    x = 231,860.12

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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.