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Finding the Fourth Proportional to 557,617.40, 769,512.84 and 302,968.52

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Solution

The fourth proportional to 557,617.40, 769,512.84 and 302,968.52 is: 418,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,617.40 : 769,512.84 = 302,968.52 : x
  2. Step 2: Convert to fraction form
    557,617.40/769,512.84 = 302,968.52/x
  3. Step 3: Cross multiply
    557,617.40x = 769,512.84 × 302,968.52
  4. Step 4: Simplify right side
    557,617.40x = 233,138,166,255.80
  5. Step 5: Solve for x
    x = 233,138,166,255.80/557,617.40
  6. Step 6: Final answer
    x = 418,097.01

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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.