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Finding the Fourth Proportional to 437,732, 656,684.40 and 138,258.80

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Solution

The fourth proportional to 437,732, 656,684.40 and 138,258.80 is: 207,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,732 : 656,684.40 = 138,258.80 : x
  2. Step 2: Convert to fraction form
    437,732/656,684.40 = 138,258.80/x
  3. Step 3: Cross multiply
    437,732x = 656,684.40 × 138,258.80
  4. Step 4: Simplify right side
    437,732x = 90,792,397,122.72
  5. Step 5: Solve for x
    x = 90,792,397,122.72/437,732
  6. Step 6: Final answer
    x = 207,415.49

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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.