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Finding the Fourth Proportional to 408,133.60, 612,200.40 and 197,792.80

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Solution

The fourth proportional to 408,133.60, 612,200.40 and 197,792.80 is: 296,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,133.60 : 612,200.40 = 197,792.80 : x
  2. Step 2: Convert to fraction form
    408,133.60/612,200.40 = 197,792.80/x
  3. Step 3: Cross multiply
    408,133.60x = 612,200.40 × 197,792.80
  4. Step 4: Simplify right side
    408,133.60x = 121,088,831,277.12
  5. Step 5: Solve for x
    x = 121,088,831,277.12/408,133.60
  6. Step 6: Final answer
    x = 296,689.20

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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.