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Finding the Fourth Proportional to 419,780.88, 578,840.24 and 283,578.46

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Solution

The fourth proportional to 419,780.88, 578,840.24 and 283,578.46 is: 391,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,780.88 : 578,840.24 = 283,578.46 : x
  2. Step 2: Convert to fraction form
    419,780.88/578,840.24 = 283,578.46/x
  3. Step 3: Cross multiply
    419,780.88x = 578,840.24 × 283,578.46
  4. Step 4: Simplify right side
    419,780.88x = 164,146,623,107.08
  5. Step 5: Solve for x
    x = 164,146,623,107.08/419,780.88
  6. Step 6: Final answer
    x = 391,029.30

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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.