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Finding the Fourth Proportional to 382,368.80, 573,629.76 and 214,128.38

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Solution

The fourth proportional to 382,368.80, 573,629.76 and 214,128.38 is: 321,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,368.80 : 573,629.76 = 214,128.38 : x
  2. Step 2: Convert to fraction form
    382,368.80/573,629.76 = 214,128.38/x
  3. Step 3: Cross multiply
    382,368.80x = 573,629.76 × 214,128.38
  4. Step 4: Simplify right side
    382,368.80x = 122,830,411,228.59
  5. Step 5: Solve for x
    x = 122,830,411,228.59/382,368.80
  6. Step 6: Final answer
    x = 321,235.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.