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Finding the Fourth Proportional to 475,885.71, 712,876.77 and 286,241.31

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Solution

The fourth proportional to 475,885.71, 712,876.77 and 286,241.31 is: 428,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,885.71 : 712,876.77 = 286,241.31 : x
  2. Step 2: Convert to fraction form
    475,885.71/712,876.77 = 286,241.31/x
  3. Step 3: Cross multiply
    475,885.71x = 712,876.77 × 286,241.31
  4. Step 4: Simplify right side
    475,885.71x = 204,054,780,513.37
  5. Step 5: Solve for x
    x = 204,054,780,513.37/475,885.71
  6. Step 6: Final answer
    x = 428,789.47

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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.