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Finding the Fourth Proportional to 515,827.32, 773,609.76 and 200,112

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Solution

The fourth proportional to 515,827.32, 773,609.76 and 200,112 is: 300,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,827.32 : 773,609.76 = 200,112 : x
  2. Step 2: Convert to fraction form
    515,827.32/773,609.76 = 200,112/x
  3. Step 3: Cross multiply
    515,827.32x = 773,609.76 × 200,112
  4. Step 4: Simplify right side
    515,827.32x = 154,808,596,293.12
  5. Step 5: Solve for x
    x = 154,808,596,293.12/515,827.32
  6. Step 6: Final answer
    x = 300,117.09

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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.