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Finding the Fourth Proportional to 419,852.30, 579,374.37 and 238,539.06

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Solution

The fourth proportional to 419,852.30, 579,374.37 and 238,539.06 is: 329,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,852.30 : 579,374.37 = 238,539.06 : x
  2. Step 2: Convert to fraction form
    419,852.30/579,374.37 = 238,539.06/x
  3. Step 3: Cross multiply
    419,852.30x = 579,374.37 × 238,539.06
  4. Step 4: Simplify right side
    419,852.30x = 138,203,417,607.89
  5. Step 5: Solve for x
    x = 138,203,417,607.89/419,852.30
  6. Step 6: Final answer
    x = 329,171.52

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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.