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Finding the Fourth Proportional to 286,448.33, 395,305.47 and 157,385.58

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Solution

The fourth proportional to 286,448.33, 395,305.47 and 157,385.58 is: 217,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,448.33 : 395,305.47 = 157,385.58 : x
  2. Step 2: Convert to fraction form
    286,448.33/395,305.47 = 157,385.58/x
  3. Step 3: Cross multiply
    286,448.33x = 395,305.47 × 157,385.58
  4. Step 4: Simplify right side
    286,448.33x = 62,215,380,673.12
  5. Step 5: Solve for x
    x = 62,215,380,673.12/286,448.33
  6. Step 6: Final answer
    x = 217,195.83

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1.5x scale

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.