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Finding the Fourth Proportional to 517,357.38, 713,938.54 and 287,911

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Solution

The fourth proportional to 517,357.38, 713,938.54 and 287,911 is: 397,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,357.38 : 713,938.54 = 287,911 : x
  2. Step 2: Convert to fraction form
    517,357.38/713,938.54 = 287,911/x
  3. Step 3: Cross multiply
    517,357.38x = 713,938.54 × 287,911
  4. Step 4: Simplify right side
    517,357.38x = 205,550,758,989.94
  5. Step 5: Solve for x
    x = 205,550,758,989.94/517,357.38
  6. Step 6: Final answer
    x = 397,309.03

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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.