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Finding the Fourth Proportional to 258,503.69, 356,728.83 and 143,781.95

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Solution

The fourth proportional to 258,503.69, 356,728.83 and 143,781.95 is: 198,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,503.69 : 356,728.83 = 143,781.95 : x
  2. Step 2: Convert to fraction form
    258,503.69/356,728.83 = 143,781.95/x
  3. Step 3: Cross multiply
    258,503.69x = 356,728.83 × 143,781.95
  4. Step 4: Simplify right side
    258,503.69x = 51,291,166,798.62
  5. Step 5: Solve for x
    x = 51,291,166,798.62/258,503.69
  6. Step 6: Final answer
    x = 198,415.61

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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.