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Finding the Fourth Proportional to 470,205.65, 649,082.42 and 317,450.75

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Solution

The fourth proportional to 470,205.65, 649,082.42 and 317,450.75 is: 438,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,205.65 : 649,082.42 = 317,450.75 : x
  2. Step 2: Convert to fraction form
    470,205.65/649,082.42 = 317,450.75/x
  3. Step 3: Cross multiply
    470,205.65x = 649,082.42 × 317,450.75
  4. Step 4: Simplify right side
    470,205.65x = 206,051,696,208.15
  5. Step 5: Solve for x
    x = 206,051,696,208.15/470,205.65
  6. Step 6: Final answer
    x = 438,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.