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Finding the Fourth Proportional to 414,290.72, 621,042.36 and 264,109.52

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Solution

The fourth proportional to 414,290.72, 621,042.36 and 264,109.52 is: 395,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,290.72 : 621,042.36 = 264,109.52 : x
  2. Step 2: Convert to fraction form
    414,290.72/621,042.36 = 264,109.52/x
  3. Step 3: Cross multiply
    414,290.72x = 621,042.36 × 264,109.52
  4. Step 4: Simplify right side
    414,290.72x = 164,023,199,599.27
  5. Step 5: Solve for x
    x = 164,023,199,599.27/414,290.72
  6. Step 6: Final answer
    x = 395,913.28

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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.