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Finding the Fourth Proportional to 258,474.08, 356,687.68 and 145,304.16

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Solution

The fourth proportional to 258,474.08, 356,687.68 and 145,304.16 is: 200,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,474.08 : 356,687.68 = 145,304.16 : x
  2. Step 2: Convert to fraction form
    258,474.08/356,687.68 = 145,304.16/x
  3. Step 3: Cross multiply
    258,474.08x = 356,687.68 × 145,304.16
  4. Step 4: Simplify right side
    258,474.08x = 51,828,203,724.75
  5. Step 5: Solve for x
    x = 51,828,203,724.75/258,474.08
  6. Step 6: Final answer
    x = 200,516.06

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1.5x scale

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.