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Finding the Fourth Proportional to 446,788.80, 670,280.40 and 147,218.40

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Solution

The fourth proportional to 446,788.80, 670,280.40 and 147,218.40 is: 220,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,788.80 : 670,280.40 = 147,218.40 : x
  2. Step 2: Convert to fraction form
    446,788.80/670,280.40 = 147,218.40/x
  3. Step 3: Cross multiply
    446,788.80x = 670,280.40 × 147,218.40
  4. Step 4: Simplify right side
    446,788.80x = 98,677,608,039.36
  5. Step 5: Solve for x
    x = 98,677,608,039.36/446,788.80
  6. Step 6: Final answer
    x = 220,859.63

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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.