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Finding the Fourth Proportional to 258,457.56, 356,671.64 and 143,733.71

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Solution

The fourth proportional to 258,457.56, 356,671.64 and 143,733.71 is: 198,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,457.56 : 356,671.64 = 143,733.71 : x
  2. Step 2: Convert to fraction form
    258,457.56/356,671.64 = 143,733.71/x
  3. Step 3: Cross multiply
    258,457.56x = 356,671.64 × 143,733.71
  4. Step 4: Simplify right side
    258,457.56x = 51,265,736,644.96
  5. Step 5: Solve for x
    x = 51,265,736,644.96/258,457.56
  6. Step 6: Final answer
    x = 198,352.63

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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.