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Finding the Fourth Proportional to 660,084.90, 990,340.60 and 305,331.64

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Solution

The fourth proportional to 660,084.90, 990,340.60 and 305,331.64 is: 458,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,084.90 : 990,340.60 = 305,331.64 : x
  2. Step 2: Convert to fraction form
    660,084.90/990,340.60 = 305,331.64/x
  3. Step 3: Cross multiply
    660,084.90x = 990,340.60 × 305,331.64
  4. Step 4: Simplify right side
    660,084.90x = 302,382,319,556.58
  5. Step 5: Solve for x
    x = 302,382,319,556.58/660,084.90
  6. Step 6: Final answer
    x = 458,096.10

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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.