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Finding the Fourth Proportional to 268,471.40, 403,014.30 and 157,725.80

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Solution

The fourth proportional to 268,471.40, 403,014.30 and 157,725.80 is: 236,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,471.40 : 403,014.30 = 157,725.80 : x
  2. Step 2: Convert to fraction form
    268,471.40/403,014.30 = 157,725.80/x
  3. Step 3: Cross multiply
    268,471.40x = 403,014.30 × 157,725.80
  4. Step 4: Simplify right side
    268,471.40x = 63,565,752,878.94
  5. Step 5: Solve for x
    x = 63,565,752,878.94/268,471.40
  6. Step 6: Final answer
    x = 236,769.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.