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Finding the Fourth Proportional to 286,011, 428,997.60 and 117,487.26

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Solution

The fourth proportional to 286,011, 428,997.60 and 117,487.26 is: 176,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011 : 428,997.60 = 117,487.26 : x
  2. Step 2: Convert to fraction form
    286,011/428,997.60 = 117,487.26/x
  3. Step 3: Cross multiply
    286,011x = 428,997.60 × 117,487.26
  4. Step 4: Simplify right side
    286,011x = 50,401,752,570.58
  5. Step 5: Solve for x
    x = 50,401,752,570.58/286,011
  6. Step 6: Final answer
    x = 176,223.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.