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Finding the Fourth Proportional to 258,523.43, 356,783.87 and 143,823.68

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Solution

The fourth proportional to 258,523.43, 356,783.87 and 143,823.68 is: 198,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,523.43 : 356,783.87 = 143,823.68 : x
  2. Step 2: Convert to fraction form
    258,523.43/356,783.87 = 143,823.68/x
  3. Step 3: Cross multiply
    258,523.43x = 356,783.87 × 143,823.68
  4. Step 4: Simplify right side
    258,523.43x = 51,313,969,148.04
  5. Step 5: Solve for x
    x = 51,313,969,148.04/258,523.43
  6. Step 6: Final answer
    x = 198,488.66

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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.