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Finding the Fourth Proportional to 313,980.21, 470,986.65 and 103,634.55

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Solution

The fourth proportional to 313,980.21, 470,986.65 and 103,634.55 is: 155,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,980.21 : 470,986.65 = 103,634.55 : x
  2. Step 2: Convert to fraction form
    313,980.21/470,986.65 = 103,634.55/x
  3. Step 3: Cross multiply
    313,980.21x = 470,986.65 × 103,634.55
  4. Step 4: Simplify right side
    313,980.21x = 48,810,489,528.76
  5. Step 5: Solve for x
    x = 48,810,489,528.76/313,980.21
  6. Step 6: Final answer
    x = 155,457.22

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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.