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Finding the Fourth Proportional to 258,457.68, 356,671.82 and 143,733.82

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Solution

The fourth proportional to 258,457.68, 356,671.82 and 143,733.82 is: 198,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,457.68 : 356,671.82 = 143,733.82 : x
  2. Step 2: Convert to fraction form
    258,457.68/356,671.82 = 143,733.82/x
  3. Step 3: Cross multiply
    258,457.68x = 356,671.82 × 143,733.82
  4. Step 4: Simplify right side
    258,457.68x = 51,265,803,174.95
  5. Step 5: Solve for x
    x = 51,265,803,174.95/258,457.68
  6. Step 6: Final answer
    x = 198,352.79

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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.