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Finding the Fourth Proportional to 516,021.89, 712,133.84 and 286,580.22

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Solution

The fourth proportional to 516,021.89, 712,133.84 and 286,580.22 is: 395,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,021.89 : 712,133.84 = 286,580.22 : x
  2. Step 2: Convert to fraction form
    516,021.89/712,133.84 = 286,580.22/x
  3. Step 3: Cross multiply
    516,021.89x = 712,133.84 × 286,580.22
  4. Step 4: Simplify right side
    516,021.89x = 204,083,472,536.65
  5. Step 5: Solve for x
    x = 204,083,472,536.65/516,021.89
  6. Step 6: Final answer
    x = 395,493.83

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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.