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Finding the Fourth Proportional to 419,371.56, 578,712.20 and 238,059.24

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Solution

The fourth proportional to 419,371.56, 578,712.20 and 238,059.24 is: 328,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,371.56 : 578,712.20 = 238,059.24 : x
  2. Step 2: Convert to fraction form
    419,371.56/578,712.20 = 238,059.24/x
  3. Step 3: Cross multiply
    419,371.56x = 578,712.20 × 238,059.24
  4. Step 4: Simplify right side
    419,371.56x = 137,767,783,150.26
  5. Step 5: Solve for x
    x = 137,767,783,150.26/419,371.56
  6. Step 6: Final answer
    x = 328,510.08

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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.