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Finding the Fourth Proportional to 385,758.80, 531,991.88 and 264,686.48

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Solution

The fourth proportional to 385,758.80, 531,991.88 and 264,686.48 is: 365,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,758.80 : 531,991.88 = 264,686.48 : x
  2. Step 2: Convert to fraction form
    385,758.80/531,991.88 = 264,686.48/x
  3. Step 3: Cross multiply
    385,758.80x = 531,991.88 × 264,686.48
  4. Step 4: Simplify right side
    385,758.80x = 140,811,058,105.78
  5. Step 5: Solve for x
    x = 140,811,058,105.78/385,758.80
  6. Step 6: Final answer
    x = 365,023.58

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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.