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Finding the Fourth Proportional to 286,426, 395,268.10 and 157,372.78

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Solution

The fourth proportional to 286,426, 395,268.10 and 157,372.78 is: 217,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,426 : 395,268.10 = 157,372.78 : x
  2. Step 2: Convert to fraction form
    286,426/395,268.10 = 157,372.78/x
  3. Step 3: Cross multiply
    286,426x = 395,268.10 × 157,372.78
  4. Step 4: Simplify right side
    286,426x = 62,204,439,742.32
  5. Step 5: Solve for x
    x = 62,204,439,742.32/286,426
  6. Step 6: Final answer
    x = 217,174.56

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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.