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Finding the Fourth Proportional to 255,502.68, 352,589.10 and 142,323

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Solution

The fourth proportional to 255,502.68, 352,589.10 and 142,323 is: 196,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,502.68 : 352,589.10 = 142,323 : x
  2. Step 2: Convert to fraction form
    255,502.68/352,589.10 = 142,323/x
  3. Step 3: Cross multiply
    255,502.68x = 352,589.10 × 142,323
  4. Step 4: Simplify right side
    255,502.68x = 50,181,538,479.30
  5. Step 5: Solve for x
    x = 50,181,538,479.30/255,502.68
  6. Step 6: Final answer
    x = 196,403.18

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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.