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Finding the Fourth Proportional to 408,611.05, 612,784.68 and 148,911.69

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Solution

The fourth proportional to 408,611.05, 612,784.68 and 148,911.69 is: 223,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,611.05 : 612,784.68 = 148,911.69 : x
  2. Step 2: Convert to fraction form
    408,611.05/612,784.68 = 148,911.69/x
  3. Step 3: Cross multiply
    408,611.05x = 612,784.68 × 148,911.69
  4. Step 4: Simplify right side
    408,611.05x = 91,250,802,304.91
  5. Step 5: Solve for x
    x = 91,250,802,304.91/408,611.05
  6. Step 6: Final answer
    x = 223,319.47

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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.