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Finding the Fourth Proportional to 382,799.82, 528,281.07 and 221,661.90

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Solution

The fourth proportional to 382,799.82, 528,281.07 and 221,661.90 is: 305,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,799.82 : 528,281.07 = 221,661.90 : x
  2. Step 2: Convert to fraction form
    382,799.82/528,281.07 = 221,661.90/x
  3. Step 3: Cross multiply
    382,799.82x = 528,281.07 × 221,661.90
  4. Step 4: Simplify right side
    382,799.82x = 117,099,785,710.23
  5. Step 5: Solve for x
    x = 117,099,785,710.23/382,799.82
  6. Step 6: Final answer
    x = 305,903.45

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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.