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Finding the Fourth Proportional to 313,971.76, 470,973.90 and 103,626.08

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Solution

The fourth proportional to 313,971.76, 470,973.90 and 103,626.08 is: 155,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,971.76 : 470,973.90 = 103,626.08 : x
  2. Step 2: Convert to fraction form
    313,971.76/470,973.90 = 103,626.08/x
  3. Step 3: Cross multiply
    313,971.76x = 470,973.90 × 103,626.08
  4. Step 4: Simplify right side
    313,971.76x = 48,805,179,039.31
  5. Step 5: Solve for x
    x = 48,805,179,039.31/313,971.76
  6. Step 6: Final answer
    x = 155,444.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.