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Finding the Fourth Proportional to 313,969.20, 470,887.92 and 103,557.84

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Solution

The fourth proportional to 313,969.20, 470,887.92 and 103,557.84 is: 155,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.20 : 470,887.92 = 103,557.84 : x
  2. Step 2: Convert to fraction form
    313,969.20/470,887.92 = 103,557.84/x
  3. Step 3: Cross multiply
    313,969.20x = 470,887.92 × 103,557.84
  4. Step 4: Simplify right side
    313,969.20x = 48,764,135,877.29
  5. Step 5: Solve for x
    x = 48,764,135,877.29/313,969.20
  6. Step 6: Final answer
    x = 155,315.03

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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.