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Finding the Fourth Proportional to 446,590.80, 669,886.20 and 412,376.40

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Solution

The fourth proportional to 446,590.80, 669,886.20 and 412,376.40 is: 618,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,590.80 : 669,886.20 = 412,376.40 : x
  2. Step 2: Convert to fraction form
    446,590.80/669,886.20 = 412,376.40/x
  3. Step 3: Cross multiply
    446,590.80x = 669,886.20 × 412,376.40
  4. Step 4: Simplify right side
    446,590.80x = 276,245,259,565.68
  5. Step 5: Solve for x
    x = 276,245,259,565.68/446,590.80
  6. Step 6: Final answer
    x = 618,564.60

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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.