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Finding the Fourth Proportional to 446,996.80, 670,352.64 and 147,421.54

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Solution

The fourth proportional to 446,996.80, 670,352.64 and 147,421.54 is: 221,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,996.80 : 670,352.64 = 147,421.54 : x
  2. Step 2: Convert to fraction form
    446,996.80/670,352.64 = 147,421.54/x
  3. Step 3: Cross multiply
    446,996.80x = 670,352.64 × 147,421.54
  4. Step 4: Simplify right side
    446,996.80x = 98,824,418,531.87
  5. Step 5: Solve for x
    x = 98,824,418,531.87/446,996.80
  6. Step 6: Final answer
    x = 221,085.29

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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.