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Finding the Fourth Proportional to 313,847.50, 470,978.63 and 147,648.46

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Solution

The fourth proportional to 313,847.50, 470,978.63 and 147,648.46 is: 221,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,847.50 : 470,978.63 = 147,648.46 : x
  2. Step 2: Convert to fraction form
    313,847.50/470,978.63 = 147,648.46/x
  3. Step 3: Cross multiply
    313,847.50x = 470,978.63 × 147,648.46
  4. Step 4: Simplify right side
    313,847.50x = 69,539,269,412.41
  5. Step 5: Solve for x
    x = 69,539,269,412.41/313,847.50
  6. Step 6: Final answer
    x = 221,570.25

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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.