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Finding the Fourth Proportional to 258,574.06, 356,864.70 and 145,396

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Solution

The fourth proportional to 258,574.06, 356,864.70 and 145,396 is: 200,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,574.06 : 356,864.70 = 145,396 : x
  2. Step 2: Convert to fraction form
    258,574.06/356,864.70 = 145,396/x
  3. Step 3: Cross multiply
    258,574.06x = 356,864.70 × 145,396
  4. Step 4: Simplify right side
    258,574.06x = 51,886,699,921.20
  5. Step 5: Solve for x
    x = 51,886,699,921.20/258,574.06
  6. Step 6: Final answer
    x = 200,664.75

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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.