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Finding the Fourth Proportional to 268,043.60, 402,065.40 and 162,894.80

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Solution

The fourth proportional to 268,043.60, 402,065.40 and 162,894.80 is: 244,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,043.60 : 402,065.40 = 162,894.80 : x
  2. Step 2: Convert to fraction form
    268,043.60/402,065.40 = 162,894.80/x
  3. Step 3: Cross multiply
    268,043.60x = 402,065.40 × 162,894.80
  4. Step 4: Simplify right side
    268,043.60x = 65,494,362,919.92
  5. Step 5: Solve for x
    x = 65,494,362,919.92/268,043.60
  6. Step 6: Final answer
    x = 244,342.20

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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.