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Finding the Fourth Proportional to 286,389.74, 395,173.96 and 165,507.71

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Solution

The fourth proportional to 286,389.74, 395,173.96 and 165,507.71 is: 228,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,389.74 : 395,173.96 = 165,507.71 : x
  2. Step 2: Convert to fraction form
    286,389.74/395,173.96 = 165,507.71/x
  3. Step 3: Cross multiply
    286,389.74x = 395,173.96 × 165,507.71
  4. Step 4: Simplify right side
    286,389.74x = 65,404,334,781.59
  5. Step 5: Solve for x
    x = 65,404,334,781.59/286,389.74
  6. Step 6: Final answer
    x = 228,375.27

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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.