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Finding the Fourth Proportional to 557,878.44, 769,869.36 and 303,231

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Solution

The fourth proportional to 557,878.44, 769,869.36 and 303,231 is: 418,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,878.44 : 769,869.36 = 303,231 : x
  2. Step 2: Convert to fraction form
    557,878.44/769,869.36 = 303,231/x
  3. Step 3: Cross multiply
    557,878.44x = 769,869.36 × 303,231
  4. Step 4: Simplify right side
    557,878.44x = 233,448,255,902.16
  5. Step 5: Solve for x
    x = 233,448,255,902.16/557,878.44
  6. Step 6: Final answer
    x = 418,457.21

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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.