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Finding the Fourth Proportional to 493,407.91, 739,349 and 385,080.43

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Solution

The fourth proportional to 493,407.91, 739,349 and 385,080.43 is: 577,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,407.91 : 739,349 = 385,080.43 : x
  2. Step 2: Convert to fraction form
    493,407.91/739,349 = 385,080.43/x
  3. Step 3: Cross multiply
    493,407.91x = 739,349 × 385,080.43
  4. Step 4: Simplify right side
    493,407.91x = 284,708,830,840.07
  5. Step 5: Solve for x
    x = 284,708,830,840.07/493,407.91
  6. Step 6: Final answer
    x = 577,025.27

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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.