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Finding the Fourth Proportional to 520,032, 717,644.16 and 281,568

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Solution

The fourth proportional to 520,032, 717,644.16 and 281,568 is: 388,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032 : 717,644.16 = 281,568 : x
  2. Step 2: Convert to fraction form
    520,032/717,644.16 = 281,568/x
  3. Step 3: Cross multiply
    520,032x = 717,644.16 × 281,568
  4. Step 4: Simplify right side
    520,032x = 202,065,630,842.88
  5. Step 5: Solve for x
    x = 202,065,630,842.88/520,032
  6. Step 6: Final answer
    x = 388,563.84

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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.