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Finding the Fourth Proportional to 300,397.79, 414,999.18 and 197,276.64

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Solution

The fourth proportional to 300,397.79, 414,999.18 and 197,276.64 is: 272,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,397.79 : 414,999.18 = 197,276.64 : x
  2. Step 2: Convert to fraction form
    300,397.79/414,999.18 = 197,276.64/x
  3. Step 3: Cross multiply
    300,397.79x = 414,999.18 × 197,276.64
  4. Step 4: Simplify right side
    300,397.79x = 81,869,643,833.16
  5. Step 5: Solve for x
    x = 81,869,643,833.16/300,397.79
  6. Step 6: Final answer
    x = 272,537.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.