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Finding the Fourth Proportional to 557,322.12, 769,300.74 and 330,966

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Solution

The fourth proportional to 557,322.12, 769,300.74 and 330,966 is: 456,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,322.12 : 769,300.74 = 330,966 : x
  2. Step 2: Convert to fraction form
    557,322.12/769,300.74 = 330,966/x
  3. Step 3: Cross multiply
    557,322.12x = 769,300.74 × 330,966
  4. Step 4: Simplify right side
    557,322.12x = 254,612,388,714.84
  5. Step 5: Solve for x
    x = 254,612,388,714.84/557,322.12
  6. Step 6: Final answer
    x = 456,849.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.