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Finding the Fourth Proportional to 382,802.80, 528,125.55 and 382,212.31

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Solution

The fourth proportional to 382,802.80, 528,125.55 and 382,212.31 is: 527,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,802.80 : 528,125.55 = 382,212.31 : x
  2. Step 2: Convert to fraction form
    382,802.80/528,125.55 = 382,212.31/x
  3. Step 3: Cross multiply
    382,802.80x = 528,125.55 × 382,212.31
  4. Step 4: Simplify right side
    382,802.80x = 201,856,086,435.52
  5. Step 5: Solve for x
    x = 201,856,086,435.52/382,802.80
  6. Step 6: Final answer
    x = 527,310.89

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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.