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Finding the Fourth Proportional to 470,208.58, 649,086.48 and 317,453.69

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Solution

The fourth proportional to 470,208.58, 649,086.48 and 317,453.69 is: 438,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,208.58 : 649,086.48 = 317,453.69 : x
  2. Step 2: Convert to fraction form
    470,208.58/649,086.48 = 317,453.69/x
  3. Step 3: Cross multiply
    470,208.58x = 649,086.48 × 317,453.69
  4. Step 4: Simplify right side
    470,208.58x = 206,054,899,827.83
  5. Step 5: Solve for x
    x = 206,054,899,827.83/470,208.58
  6. Step 6: Final answer
    x = 438,220.21

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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.