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Finding the Fourth Proportional to 383,119.88, 528,721.83 and 213,354

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Solution

The fourth proportional to 383,119.88, 528,721.83 and 213,354 is: 294,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,119.88 : 528,721.83 = 213,354 : x
  2. Step 2: Convert to fraction form
    383,119.88/528,721.83 = 213,354/x
  3. Step 3: Cross multiply
    383,119.88x = 528,721.83 × 213,354
  4. Step 4: Simplify right side
    383,119.88x = 112,804,917,317.82
  5. Step 5: Solve for x
    x = 112,804,917,317.82/383,119.88
  6. Step 6: Final answer
    x = 294,437.65

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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.