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Finding the Fourth Proportional to 520,188, 717,859.44 and 281,724

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Solution

The fourth proportional to 520,188, 717,859.44 and 281,724 is: 388,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,188 : 717,859.44 = 281,724 : x
  2. Step 2: Convert to fraction form
    520,188/717,859.44 = 281,724/x
  3. Step 3: Cross multiply
    520,188x = 717,859.44 × 281,724
  4. Step 4: Simplify right side
    520,188x = 202,238,232,874.56
  5. Step 5: Solve for x
    x = 202,238,232,874.56/520,188
  6. Step 6: Final answer
    x = 388,779.12

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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.