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Finding the Fourth Proportional to 382,259.80, 527,591.64 and 253,199.80

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Solution

The fourth proportional to 382,259.80, 527,591.64 and 253,199.80 is: 349,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,259.80 : 527,591.64 = 253,199.80 : x
  2. Step 2: Convert to fraction form
    382,259.80/527,591.64 = 253,199.80/x
  3. Step 3: Cross multiply
    382,259.80x = 527,591.64 × 253,199.80
  4. Step 4: Simplify right side
    382,259.80x = 133,586,097,729.67
  5. Step 5: Solve for x
    x = 133,586,097,729.67/382,259.80
  6. Step 6: Final answer
    x = 349,464.15

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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.