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Finding the Fourth Proportional to 557,291.84, 769,298.20 and 376,249

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Solution

The fourth proportional to 557,291.84, 769,298.20 and 376,249 is: 519,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,291.84 : 769,298.20 = 376,249 : x
  2. Step 2: Convert to fraction form
    557,291.84/769,298.20 = 376,249/x
  3. Step 3: Cross multiply
    557,291.84x = 769,298.20 × 376,249
  4. Step 4: Simplify right side
    557,291.84x = 289,447,678,451.80
  5. Step 5: Solve for x
    x = 289,447,678,451.80/557,291.84
  6. Step 6: Final answer
    x = 519,382.59

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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.