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Finding the Fourth Proportional to 660,031.98, 990,464.48 and 280,952.12

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Solution

The fourth proportional to 660,031.98, 990,464.48 and 280,952.12 is: 421,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,031.98 : 990,464.48 = 280,952.12 : x
  2. Step 2: Convert to fraction form
    660,031.98/990,464.48 = 280,952.12/x
  3. Step 3: Cross multiply
    660,031.98x = 990,464.48 × 280,952.12
  4. Step 4: Simplify right side
    660,031.98x = 278,273,089,083.62
  5. Step 5: Solve for x
    x = 278,273,089,083.62/660,031.98
  6. Step 6: Final answer
    x = 421,605.46

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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.