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Finding the Fourth Proportional to 475,253.40, 713,012.22 and 386,286.60

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Solution

The fourth proportional to 475,253.40, 713,012.22 and 386,286.60 is: 579,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,253.40 : 713,012.22 = 386,286.60 : x
  2. Step 2: Convert to fraction form
    475,253.40/713,012.22 = 386,286.60/x
  3. Step 3: Cross multiply
    475,253.40x = 713,012.22 × 386,286.60
  4. Step 4: Simplify right side
    475,253.40x = 275,427,066,222.25
  5. Step 5: Solve for x
    x = 275,427,066,222.25/475,253.40
  6. Step 6: Final answer
    x = 579,537.29

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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.