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Finding the Fourth Proportional to 382,689.87, 528,176.73 and 221,642.82

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Solution

The fourth proportional to 382,689.87, 528,176.73 and 221,642.82 is: 305,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,689.87 : 528,176.73 = 221,642.82 : x
  2. Step 2: Convert to fraction form
    382,689.87/528,176.73 = 221,642.82/x
  3. Step 3: Cross multiply
    382,689.87x = 528,176.73 × 221,642.82
  4. Step 4: Simplify right side
    382,689.87x = 117,066,579,895.58
  5. Step 5: Solve for x
    x = 117,066,579,895.58/382,689.87
  6. Step 6: Final answer
    x = 305,904.57

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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.