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Finding the Fourth Proportional to 258,655.16, 356,993.24 and 161,903.92

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Solution

The fourth proportional to 258,655.16, 356,993.24 and 161,903.92 is: 223,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,655.16 : 356,993.24 = 161,903.92 : x
  2. Step 2: Convert to fraction form
    258,655.16/356,993.24 = 161,903.92/x
  3. Step 3: Cross multiply
    258,655.16x = 356,993.24 × 161,903.92
  4. Step 4: Simplify right side
    258,655.16x = 57,798,604,969.50
  5. Step 5: Solve for x
    x = 57,798,604,969.50/258,655.16
  6. Step 6: Final answer
    x = 223,458.16

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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.