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Finding the Fourth Proportional to 505,926.52, 757,529.82 and 385,409.32

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Solution

The fourth proportional to 505,926.52, 757,529.82 and 385,409.32 is: 577,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,926.52 : 757,529.82 = 385,409.32 : x
  2. Step 2: Convert to fraction form
    505,926.52/757,529.82 = 385,409.32/x
  3. Step 3: Cross multiply
    505,926.52x = 757,529.82 × 385,409.32
  4. Step 4: Simplify right side
    505,926.52x = 291,959,052,805.92
  5. Step 5: Solve for x
    x = 291,959,052,805.92/505,926.52
  6. Step 6: Final answer
    x = 577,077.98

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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.