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Finding the Fourth Proportional to 430,993.60, 646,189.84 and 190,976.96

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Solution

The fourth proportional to 430,993.60, 646,189.84 and 190,976.96 is: 286,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,993.60 : 646,189.84 = 190,976.96 : x
  2. Step 2: Convert to fraction form
    430,993.60/646,189.84 = 190,976.96/x
  3. Step 3: Cross multiply
    430,993.60x = 646,189.84 × 190,976.96
  4. Step 4: Simplify right side
    430,993.60x = 123,407,371,226.09
  5. Step 5: Solve for x
    x = 123,407,371,226.09/430,993.60
  6. Step 6: Final answer
    x = 286,332.26

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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.