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Finding the Fourth Proportional to 517,342.07, 713,926.90 and 287,895.44

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Solution

The fourth proportional to 517,342.07, 713,926.90 and 287,895.44 is: 397,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,342.07 : 713,926.90 = 287,895.44 : x
  2. Step 2: Convert to fraction form
    517,342.07/713,926.90 = 287,895.44/x
  3. Step 3: Cross multiply
    517,342.07x = 713,926.90 × 287,895.44
  4. Step 4: Simplify right side
    517,342.07x = 205,536,299,003.34
  5. Step 5: Solve for x
    x = 205,536,299,003.34/517,342.07
  6. Step 6: Final answer
    x = 397,292.84

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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.