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Finding the Fourth Proportional to 446,742.80, 670,239.30 and 180,690.20

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Solution

The fourth proportional to 446,742.80, 670,239.30 and 180,690.20 is: 271,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,742.80 : 670,239.30 = 180,690.20 : x
  2. Step 2: Convert to fraction form
    446,742.80/670,239.30 = 180,690.20/x
  3. Step 3: Cross multiply
    446,742.80x = 670,239.30 × 180,690.20
  4. Step 4: Simplify right side
    446,742.80x = 121,105,673,164.86
  5. Step 5: Solve for x
    x = 121,105,673,164.86/446,742.80
  6. Step 6: Final answer
    x = 271,085.90

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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.