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Finding the Fourth Proportional to 446,480.22, 669,812.60 and 146,978.77

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Solution

The fourth proportional to 446,480.22, 669,812.60 and 146,978.77 is: 220,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,480.22 : 669,812.60 = 146,978.77 : x
  2. Step 2: Convert to fraction form
    446,480.22/669,812.60 = 146,978.77/x
  3. Step 3: Cross multiply
    446,480.22x = 669,812.60 × 146,978.77
  4. Step 4: Simplify right side
    446,480.22x = 98,448,232,078.50
  5. Step 5: Solve for x
    x = 98,448,232,078.50/446,480.22
  6. Step 6: Final answer
    x = 220,498.53

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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.