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Finding the Fourth Proportional to 516,072.36, 712,155.63 and 286,644.52

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Solution

The fourth proportional to 516,072.36, 712,155.63 and 286,644.52 is: 395,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,072.36 : 712,155.63 = 286,644.52 : x
  2. Step 2: Convert to fraction form
    516,072.36/712,155.63 = 286,644.52/x
  3. Step 3: Cross multiply
    516,072.36x = 712,155.63 × 286,644.52
  4. Step 4: Simplify right side
    516,072.36x = 204,135,503,732.65
  5. Step 5: Solve for x
    x = 204,135,503,732.65/516,072.36
  6. Step 6: Final answer
    x = 395,555.97

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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.