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Finding the Fourth Proportional to 490,175.20, 735,262.80 and 411,443.20

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Solution

The fourth proportional to 490,175.20, 735,262.80 and 411,443.20 is: 617,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,175.20 : 735,262.80 = 411,443.20 : x
  2. Step 2: Convert to fraction form
    490,175.20/735,262.80 = 411,443.20/x
  3. Step 3: Cross multiply
    490,175.20x = 735,262.80 × 411,443.20
  4. Step 4: Simplify right side
    490,175.20x = 302,518,879,272.96
  5. Step 5: Solve for x
    x = 302,518,879,272.96/490,175.20
  6. Step 6: Final answer
    x = 617,164.80

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Similar ratio
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1.5x scale

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.