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Finding the Fourth Proportional to 272,396.42, 408,594.63 and 85,422.50

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Solution

The fourth proportional to 272,396.42, 408,594.63 and 85,422.50 is: 128,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,396.42 : 408,594.63 = 85,422.50 : x
  2. Step 2: Convert to fraction form
    272,396.42/408,594.63 = 85,422.50/x
  3. Step 3: Cross multiply
    272,396.42x = 408,594.63 × 85,422.50
  4. Step 4: Simplify right side
    272,396.42x = 34,903,174,781.18
  5. Step 5: Solve for x
    x = 34,903,174,781.18/272,396.42
  6. Step 6: Final answer
    x = 128,133.75

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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.