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Finding the Fourth Proportional to 430,739.52, 646,110.72 and 208,968

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Solution

The fourth proportional to 430,739.52, 646,110.72 and 208,968 is: 313,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,739.52 : 646,110.72 = 208,968 : x
  2. Step 2: Convert to fraction form
    430,739.52/646,110.72 = 208,968/x
  3. Step 3: Cross multiply
    430,739.52x = 646,110.72 × 208,968
  4. Step 4: Simplify right side
    430,739.52x = 135,016,464,936.96
  5. Step 5: Solve for x
    x = 135,016,464,936.96/430,739.52
  6. Step 6: Final answer
    x = 313,452.70

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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.