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Finding the Fourth Proportional to 313,875, 471,019.86 and 147,675.96

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Solution

The fourth proportional to 313,875, 471,019.86 and 147,675.96 is: 221,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,875 : 471,019.86 = 147,675.96 : x
  2. Step 2: Convert to fraction form
    313,875/471,019.86 = 147,675.96/x
  3. Step 3: Cross multiply
    313,875x = 471,019.86 × 147,675.96
  4. Step 4: Simplify right side
    313,875x = 69,558,310,004.57
  5. Step 5: Solve for x
    x = 69,558,310,004.57/313,875
  6. Step 6: Final answer
    x = 221,611.50

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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.