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Finding the Fourth Proportional to 470,195.20, 705,396.48 and 154,639.36

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Solution

The fourth proportional to 470,195.20, 705,396.48 and 154,639.36 is: 231,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,195.20 : 705,396.48 = 154,639.36 : x
  2. Step 2: Convert to fraction form
    470,195.20/705,396.48 = 154,639.36/x
  3. Step 3: Cross multiply
    470,195.20x = 705,396.48 × 154,639.36
  4. Step 4: Simplify right side
    470,195.20x = 109,082,060,213.45
  5. Step 5: Solve for x
    x = 109,082,060,213.45/470,195.20
  6. Step 6: Final answer
    x = 231,993.14

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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.