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Finding the Fourth Proportional to 419,342.22, 578,699.16 and 238,059.50

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Solution

The fourth proportional to 419,342.22, 578,699.16 and 238,059.50 is: 328,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,342.22 : 578,699.16 = 238,059.50 : x
  2. Step 2: Convert to fraction form
    419,342.22/578,699.16 = 238,059.50/x
  3. Step 3: Cross multiply
    419,342.22x = 578,699.16 × 238,059.50
  4. Step 4: Simplify right side
    419,342.22x = 137,764,832,680.02
  5. Step 5: Solve for x
    x = 137,764,832,680.02/419,342.22
  6. Step 6: Final answer
    x = 328,526.03

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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.