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Finding the Fourth Proportional to 407,528.40, 611,584.20 and 171,040.80

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Solution

The fourth proportional to 407,528.40, 611,584.20 and 171,040.80 is: 256,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,528.40 : 611,584.20 = 171,040.80 : x
  2. Step 2: Convert to fraction form
    407,528.40/611,584.20 = 171,040.80/x
  3. Step 3: Cross multiply
    407,528.40x = 611,584.20 × 171,040.80
  4. Step 4: Simplify right side
    407,528.40x = 104,605,850,835.36
  5. Step 5: Solve for x
    x = 104,605,850,835.36/407,528.40
  6. Step 6: Final answer
    x = 256,683.59

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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.