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Finding the Fourth Proportional to 520,286, 717,994.68 and 281,822

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Solution

The fourth proportional to 520,286, 717,994.68 and 281,822 is: 388,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,286 : 717,994.68 = 281,822 : x
  2. Step 2: Convert to fraction form
    520,286/717,994.68 = 281,822/x
  3. Step 3: Cross multiply
    520,286x = 717,994.68 × 281,822
  4. Step 4: Simplify right side
    520,286x = 202,346,696,706.96
  5. Step 5: Solve for x
    x = 202,346,696,706.96/520,286
  6. Step 6: Final answer
    x = 388,914.36

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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.