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Finding the Fourth Proportional to 400,708.80, 601,063.20 and 163,972.80

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Solution

The fourth proportional to 400,708.80, 601,063.20 and 163,972.80 is: 245,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,708.80 : 601,063.20 = 163,972.80 : x
  2. Step 2: Convert to fraction form
    400,708.80/601,063.20 = 163,972.80/x
  3. Step 3: Cross multiply
    400,708.80x = 601,063.20 × 163,972.80
  4. Step 4: Simplify right side
    400,708.80x = 98,558,015,880.96
  5. Step 5: Solve for x
    x = 98,558,015,880.96/400,708.80
  6. Step 6: Final answer
    x = 245,959.20

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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.