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Finding the Fourth Proportional to 470,912.64, 650,047.68 and 289,698

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Solution

The fourth proportional to 470,912.64, 650,047.68 and 289,698 is: 399,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,912.64 : 650,047.68 = 289,698 : x
  2. Step 2: Convert to fraction form
    470,912.64/650,047.68 = 289,698/x
  3. Step 3: Cross multiply
    470,912.64x = 650,047.68 × 289,698
  4. Step 4: Simplify right side
    470,912.64x = 188,317,512,800.64
  5. Step 5: Solve for x
    x = 188,317,512,800.64/470,912.64
  6. Step 6: Final answer
    x = 399,899.04

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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.