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Finding the Fourth Proportional to 351,924, 485,655.84 and 201,020.64

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Solution

The fourth proportional to 351,924, 485,655.84 and 201,020.64 is: 277,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,924 : 485,655.84 = 201,020.64 : x
  2. Step 2: Convert to fraction form
    351,924/485,655.84 = 201,020.64/x
  3. Step 3: Cross multiply
    351,924x = 485,655.84 × 201,020.64
  4. Step 4: Simplify right side
    351,924x = 97,626,847,776.54
  5. Step 5: Solve for x
    x = 97,626,847,776.54/351,924
  6. Step 6: Final answer
    x = 277,408.89

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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.