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Finding the Fourth Proportional to 520,262, 717,961.56 and 281,798

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Solution

The fourth proportional to 520,262, 717,961.56 and 281,798 is: 388,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,262 : 717,961.56 = 281,798 : x
  2. Step 2: Convert to fraction form
    520,262/717,961.56 = 281,798/x
  3. Step 3: Cross multiply
    520,262x = 717,961.56 × 281,798
  4. Step 4: Simplify right side
    520,262x = 202,320,131,684.88
  5. Step 5: Solve for x
    x = 202,320,131,684.88/520,262
  6. Step 6: Final answer
    x = 388,881.24

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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.