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Finding the Fourth Proportional to 408,597.04, 612,993.72 and 128,114.32

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Solution

The fourth proportional to 408,597.04, 612,993.72 and 128,114.32 is: 192,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,597.04 : 612,993.72 = 128,114.32 : x
  2. Step 2: Convert to fraction form
    408,597.04/612,993.72 = 128,114.32/x
  3. Step 3: Cross multiply
    408,597.04x = 612,993.72 × 128,114.32
  4. Step 4: Simplify right side
    408,597.04x = 78,533,273,602.07
  5. Step 5: Solve for x
    x = 78,533,273,602.07/408,597.04
  6. Step 6: Final answer
    x = 192,202.26

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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.