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Finding the Fourth Proportional to 382,830, 528,296.41 and 213,060.48

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Solution

The fourth proportional to 382,830, 528,296.41 and 213,060.48 is: 294,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,830 : 528,296.41 = 213,060.48 : x
  2. Step 2: Convert to fraction form
    382,830/528,296.41 = 213,060.48/x
  3. Step 3: Cross multiply
    382,830x = 528,296.41 × 213,060.48
  4. Step 4: Simplify right side
    382,830x = 112,559,086,696.88
  5. Step 5: Solve for x
    x = 112,559,086,696.88/382,830
  6. Step 6: Final answer
    x = 294,018.46

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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.