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Finding the Fourth Proportional to 419,100.77, 578,371.56 and 258,048.74

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Solution

The fourth proportional to 419,100.77, 578,371.56 and 258,048.74 is: 356,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,100.77 : 578,371.56 = 258,048.74 : x
  2. Step 2: Convert to fraction form
    419,100.77/578,371.56 = 258,048.74/x
  3. Step 3: Cross multiply
    419,100.77x = 578,371.56 × 258,048.74
  4. Step 4: Simplify right side
    419,100.77x = 149,248,052,788.08
  5. Step 5: Solve for x
    x = 149,248,052,788.08/419,100.77
  6. Step 6: Final answer
    x = 356,114.96

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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.