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Finding the Fourth Proportional to 557,278.91, 769,280.31 and 376,236.06

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Solution

The fourth proportional to 557,278.91, 769,280.31 and 376,236.06 is: 519,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,278.91 : 769,280.31 = 376,236.06 : x
  2. Step 2: Convert to fraction form
    557,278.91/769,280.31 = 376,236.06/x
  3. Step 3: Cross multiply
    557,278.91x = 769,280.31 × 376,236.06
  4. Step 4: Simplify right side
    557,278.91x = 289,430,992,869.98
  5. Step 5: Solve for x
    x = 289,430,992,869.98/557,278.91
  6. Step 6: Final answer
    x = 519,364.70

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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.