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Finding the Fourth Proportional to 408,785.56, 612,955.98 and 142,474.60

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Solution

The fourth proportional to 408,785.56, 612,955.98 and 142,474.60 is: 213,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,785.56 : 612,955.98 = 142,474.60 : x
  2. Step 2: Convert to fraction form
    408,785.56/612,955.98 = 142,474.60/x
  3. Step 3: Cross multiply
    408,785.56x = 612,955.98 × 142,474.60
  4. Step 4: Simplify right side
    408,785.56x = 87,330,658,068.11
  5. Step 5: Solve for x
    x = 87,330,658,068.11/408,785.56
  6. Step 6: Final answer
    x = 213,634.40

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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.