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Finding the Fourth Proportional to 412,539.40, 569,194.62 and 238,065.40

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Solution

The fourth proportional to 412,539.40, 569,194.62 and 238,065.40 is: 328,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,539.40 : 569,194.62 = 238,065.40 : x
  2. Step 2: Convert to fraction form
    412,539.40/569,194.62 = 238,065.40/x
  3. Step 3: Cross multiply
    412,539.40x = 569,194.62 × 238,065.40
  4. Step 4: Simplify right side
    412,539.40x = 135,505,544,888.15
  5. Step 5: Solve for x
    x = 135,505,544,888.15/412,539.40
  6. Step 6: Final answer
    x = 328,466.92

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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.