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Finding the Fourth Proportional to 414,031.20, 621,046.80 and 414,031.20

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Solution

The fourth proportional to 414,031.20, 621,046.80 and 414,031.20 is: 621,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,031.20 : 621,046.80 = 414,031.20 : x
  2. Step 2: Convert to fraction form
    414,031.20/621,046.80 = 414,031.20/x
  3. Step 3: Cross multiply
    414,031.20x = 621,046.80 × 414,031.20
  4. Step 4: Simplify right side
    414,031.20x = 257,132,751,860.16
  5. Step 5: Solve for x
    x = 257,132,751,860.16/414,031.20
  6. Step 6: Final answer
    x = 621,046.80

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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.