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Finding the Fourth Proportional to 403,275, 604,912.50 and 140,619

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Solution

The fourth proportional to 403,275, 604,912.50 and 140,619 is: 210,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,275 : 604,912.50 = 140,619 : x
  2. Step 2: Convert to fraction form
    403,275/604,912.50 = 140,619/x
  3. Step 3: Cross multiply
    403,275x = 604,912.50 × 140,619
  4. Step 4: Simplify right side
    403,275x = 85,062,190,837.50
  5. Step 5: Solve for x
    x = 85,062,190,837.50/403,275
  6. Step 6: Final answer
    x = 210,928.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.