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Finding the Fourth Proportional to 408,548.88, 563,642.33 and 253,428.21

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Solution

The fourth proportional to 408,548.88, 563,642.33 and 253,428.21 is: 349,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,548.88 : 563,642.33 = 253,428.21 : x
  2. Step 2: Convert to fraction form
    408,548.88/563,642.33 = 253,428.21/x
  3. Step 3: Cross multiply
    408,548.88x = 563,642.33 × 253,428.21
  4. Step 4: Simplify right side
    408,548.88x = 142,842,865,504.99
  5. Step 5: Solve for x
    x = 142,842,865,504.99/408,548.88
  6. Step 6: Final answer
    x = 349,634.70

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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.