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Finding the Fourth Proportional to 382,365.40, 573,562.70 and 142,538.98

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Solution

The fourth proportional to 382,365.40, 573,562.70 and 142,538.98 is: 213,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,365.40 : 573,562.70 = 142,538.98 : x
  2. Step 2: Convert to fraction form
    382,365.40/573,562.70 = 142,538.98/x
  3. Step 3: Cross multiply
    382,365.40x = 573,562.70 × 142,538.98
  4. Step 4: Simplify right side
    382,365.40x = 81,755,042,224.05
  5. Step 5: Solve for x
    x = 81,755,042,224.05/382,365.40
  6. Step 6: Final answer
    x = 213,813.91

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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.