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Finding the Fourth Proportional to 258,475.82, 356,696.61 and 145,298.57

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Solution

The fourth proportional to 258,475.82, 356,696.61 and 145,298.57 is: 200,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,475.82 : 356,696.61 = 145,298.57 : x
  2. Step 2: Convert to fraction form
    258,475.82/356,696.61 = 145,298.57/x
  3. Step 3: Cross multiply
    258,475.82x = 356,696.61 × 145,298.57
  4. Step 4: Simplify right side
    258,475.82x = 51,827,507,356.85
  5. Step 5: Solve for x
    x = 51,827,507,356.85/258,475.82
  6. Step 6: Final answer
    x = 200,512.01

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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.