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Finding the Fourth Proportional to 419,910.84, 579,487.98 and 258,872.28

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Solution

The fourth proportional to 419,910.84, 579,487.98 and 258,872.28 is: 357,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,910.84 : 579,487.98 = 258,872.28 : x
  2. Step 2: Convert to fraction form
    419,910.84/579,487.98 = 258,872.28/x
  3. Step 3: Cross multiply
    419,910.84x = 579,487.98 × 258,872.28
  4. Step 4: Simplify right side
    419,910.84x = 150,013,374,615.19
  5. Step 5: Solve for x
    x = 150,013,374,615.19/419,910.84
  6. Step 6: Final answer
    x = 357,250.54

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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.