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Finding the Fourth Proportional to 312,633.67, 470,898.03 and 290,734.51

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Solution

The fourth proportional to 312,633.67, 470,898.03 and 290,734.51 is: 437,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,633.67 : 470,898.03 = 290,734.51 : x
  2. Step 2: Convert to fraction form
    312,633.67/470,898.03 = 290,734.51/x
  3. Step 3: Cross multiply
    312,633.67x = 470,898.03 × 290,734.51
  4. Step 4: Simplify right side
    312,633.67x = 136,906,308,012.02
  5. Step 5: Solve for x
    x = 136,906,308,012.02/312,633.67
  6. Step 6: Final answer
    x = 437,912.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.