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Finding the Fourth Proportional to 523,902.88, 785,859.80 and 419,386.24

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Solution

The fourth proportional to 523,902.88, 785,859.80 and 419,386.24 is: 629,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,902.88 : 785,859.80 = 419,386.24 : x
  2. Step 2: Convert to fraction form
    523,902.88/785,859.80 = 419,386.24/x
  3. Step 3: Cross multiply
    523,902.88x = 785,859.80 × 419,386.24
  4. Step 4: Simplify right side
    523,902.88x = 329,578,786,689.15
  5. Step 5: Solve for x
    x = 329,578,786,689.15/523,902.88
  6. Step 6: Final answer
    x = 629,083.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.