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Finding the Fourth Proportional to 660,086.49, 989,971.20 and 304,759.11

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Solution

The fourth proportional to 660,086.49, 989,971.20 and 304,759.11 is: 457,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,086.49 : 989,971.20 = 304,759.11 : x
  2. Step 2: Convert to fraction form
    660,086.49/989,971.20 = 304,759.11/x
  3. Step 3: Cross multiply
    660,086.49x = 989,971.20 × 304,759.11
  4. Step 4: Simplify right side
    660,086.49x = 301,702,741,837.63
  5. Step 5: Solve for x
    x = 301,702,741,837.63/660,086.49
  6. Step 6: Final answer
    x = 457,065.47

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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.