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Finding the Fourth Proportional to 490,998.70, 736,498.05 and 414,016.30

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Solution

The fourth proportional to 490,998.70, 736,498.05 and 414,016.30 is: 621,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,998.70 : 736,498.05 = 414,016.30 : x
  2. Step 2: Convert to fraction form
    490,998.70/736,498.05 = 414,016.30/x
  3. Step 3: Cross multiply
    490,998.70x = 736,498.05 × 414,016.30
  4. Step 4: Simplify right side
    490,998.70x = 304,922,197,618.22
  5. Step 5: Solve for x
    x = 304,922,197,618.22/490,998.70
  6. Step 6: Final answer
    x = 621,024.45

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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.