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Finding the Fourth Proportional to 513,607.14, 708,797.24 and 281,049.72

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Solution

The fourth proportional to 513,607.14, 708,797.24 and 281,049.72 is: 387,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,607.14 : 708,797.24 = 281,049.72 : x
  2. Step 2: Convert to fraction form
    513,607.14/708,797.24 = 281,049.72/x
  3. Step 3: Cross multiply
    513,607.14x = 708,797.24 × 281,049.72
  4. Step 4: Simplify right side
    513,607.14x = 199,207,265,838.77
  5. Step 5: Solve for x
    x = 199,207,265,838.77/513,607.14
  6. Step 6: Final answer
    x = 387,859.22

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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.