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Finding the Fourth Proportional to 382,495.07, 573,739.16 and 142,600.82

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Solution

The fourth proportional to 382,495.07, 573,739.16 and 142,600.82 is: 213,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,495.07 : 573,739.16 = 142,600.82 : x
  2. Step 2: Convert to fraction form
    382,495.07/573,739.16 = 142,600.82/x
  3. Step 3: Cross multiply
    382,495.07x = 573,739.16 × 142,600.82
  4. Step 4: Simplify right side
    382,495.07x = 81,815,671,100.41
  5. Step 5: Solve for x
    x = 81,815,671,100.41/382,495.07
  6. Step 6: Final answer
    x = 213,899.93

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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.