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Finding the Fourth Proportional to 382,813.17, 528,251.64 and 221,678.66

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Solution

The fourth proportional to 382,813.17, 528,251.64 and 221,678.66 is: 305,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,813.17 : 528,251.64 = 221,678.66 : x
  2. Step 2: Convert to fraction form
    382,813.17/528,251.64 = 221,678.66/x
  3. Step 3: Cross multiply
    382,813.17x = 528,251.64 × 221,678.66
  4. Step 4: Simplify right side
    382,813.17x = 117,102,113,056.74
  5. Step 5: Solve for x
    x = 117,102,113,056.74/382,813.17
  6. Step 6: Final answer
    x = 305,898.86

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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.