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Finding the Fourth Proportional to 517,059.86, 713,251.21 and 310,274.76

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Solution

The fourth proportional to 517,059.86, 713,251.21 and 310,274.76 is: 428,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,059.86 : 713,251.21 = 310,274.76 : x
  2. Step 2: Convert to fraction form
    517,059.86/713,251.21 = 310,274.76/x
  3. Step 3: Cross multiply
    517,059.86x = 713,251.21 × 310,274.76
  4. Step 4: Simplify right side
    517,059.86x = 221,303,847,604.56
  5. Step 5: Solve for x
    x = 221,303,847,604.56/517,059.86
  6. Step 6: Final answer
    x = 428,004.31

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1.5x scale

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.