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Finding the Fourth Proportional to 557,283.84, 769,287.14 and 376,241.01

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Solution

The fourth proportional to 557,283.84, 769,287.14 and 376,241.01 is: 519,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,283.84 : 769,287.14 = 376,241.01 : x
  2. Step 2: Convert to fraction form
    557,283.84/769,287.14 = 376,241.01/x
  3. Step 3: Cross multiply
    557,283.84x = 769,287.14 × 376,241.01
  4. Step 4: Simplify right side
    557,283.84x = 289,437,370,533.61
  5. Step 5: Solve for x
    x = 289,437,370,533.61/557,283.84
  6. Step 6: Final answer
    x = 519,371.55

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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.