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Finding the Fourth Proportional to 258,626.25, 356,904.27 and 145,449

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Solution

The fourth proportional to 258,626.25, 356,904.27 and 145,449 is: 200,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,626.25 : 356,904.27 = 145,449 : x
  2. Step 2: Convert to fraction form
    258,626.25/356,904.27 = 145,449/x
  3. Step 3: Cross multiply
    258,626.25x = 356,904.27 × 145,449
  4. Step 4: Simplify right side
    258,626.25x = 51,911,369,167.23
  5. Step 5: Solve for x
    x = 51,911,369,167.23/258,626.25
  6. Step 6: Final answer
    x = 200,719.65

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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.