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Finding the Fourth Proportional to 286,355.72, 395,123.47 and 165,508.28

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Solution

The fourth proportional to 286,355.72, 395,123.47 and 165,508.28 is: 228,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,355.72 : 395,123.47 = 165,508.28 : x
  2. Step 2: Convert to fraction form
    286,355.72/395,123.47 = 165,508.28/x
  3. Step 3: Cross multiply
    286,355.72x = 395,123.47 × 165,508.28
  4. Step 4: Simplify right side
    286,355.72x = 65,396,204,999.66
  5. Step 5: Solve for x
    x = 65,396,204,999.66/286,355.72
  6. Step 6: Final answer
    x = 228,374.01

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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.