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Finding the Fourth Proportional to 520,264, 717,964.32 and 281,800

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Solution

The fourth proportional to 520,264, 717,964.32 and 281,800 is: 388,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,264 : 717,964.32 = 281,800 : x
  2. Step 2: Convert to fraction form
    520,264/717,964.32 = 281,800/x
  3. Step 3: Cross multiply
    520,264x = 717,964.32 × 281,800
  4. Step 4: Simplify right side
    520,264x = 202,322,345,376
  5. Step 5: Solve for x
    x = 202,322,345,376/520,264
  6. Step 6: Final answer
    x = 388,884

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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.