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Finding the Fourth Proportional to 419,914.84, 579,493.50 and 258,876.28

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Solution

The fourth proportional to 419,914.84, 579,493.50 and 258,876.28 is: 357,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,914.84 : 579,493.50 = 258,876.28 : x
  2. Step 2: Convert to fraction form
    419,914.84/579,493.50 = 258,876.28/x
  3. Step 3: Cross multiply
    419,914.84x = 579,493.50 × 258,876.28
  4. Step 4: Simplify right side
    419,914.84x = 150,017,121,564.18
  5. Step 5: Solve for x
    x = 150,017,121,564.18/419,914.84
  6. Step 6: Final answer
    x = 357,256.06

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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.