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Finding the Fourth Proportional to 446,754.40, 670,214.60 and 147,256

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Solution

The fourth proportional to 446,754.40, 670,214.60 and 147,256 is: 220,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,754.40 : 670,214.60 = 147,256 : x
  2. Step 2: Convert to fraction form
    446,754.40/670,214.60 = 147,256/x
  3. Step 3: Cross multiply
    446,754.40x = 670,214.60 × 147,256
  4. Step 4: Simplify right side
    446,754.40x = 98,693,121,137.60
  5. Step 5: Solve for x
    x = 98,693,121,137.60/446,754.40
  6. Step 6: Final answer
    x = 220,911.36

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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.