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Finding the Fourth Proportional to 286,410.70, 395,157.81 and 165,507.94

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Solution

The fourth proportional to 286,410.70, 395,157.81 and 165,507.94 is: 228,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,410.70 : 395,157.81 = 165,507.94 : x
  2. Step 2: Convert to fraction form
    286,410.70/395,157.81 = 165,507.94/x
  3. Step 3: Cross multiply
    286,410.70x = 395,157.81 × 165,507.94
  4. Step 4: Simplify right side
    286,410.70x = 65,401,755,108.01
  5. Step 5: Solve for x
    x = 65,401,755,108.01/286,410.70
  6. Step 6: Final answer
    x = 228,349.55

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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.