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Finding the Fourth Proportional to 446,780.80, 670,268.40 and 147,210.40

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Solution

The fourth proportional to 446,780.80, 670,268.40 and 147,210.40 is: 220,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,780.80 : 670,268.40 = 147,210.40 : x
  2. Step 2: Convert to fraction form
    446,780.80/670,268.40 = 147,210.40/x
  3. Step 3: Cross multiply
    446,780.80x = 670,268.40 × 147,210.40
  4. Step 4: Simplify right side
    446,780.80x = 98,670,479,271.36
  5. Step 5: Solve for x
    x = 98,670,479,271.36/446,780.80
  6. Step 6: Final answer
    x = 220,847.63

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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.