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Finding the Fourth Proportional to 258,312.54, 356,457.60 and 145,128

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Solution

The fourth proportional to 258,312.54, 356,457.60 and 145,128 is: 200,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,312.54 : 356,457.60 = 145,128 : x
  2. Step 2: Convert to fraction form
    258,312.54/356,457.60 = 145,128/x
  3. Step 3: Cross multiply
    258,312.54x = 356,457.60 × 145,128
  4. Step 4: Simplify right side
    258,312.54x = 51,731,978,572.80
  5. Step 5: Solve for x
    x = 51,731,978,572.80/258,312.54
  6. Step 6: Final answer
    x = 200,268.94

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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.