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Finding the Fourth Proportional to 325,818.40, 488,727.60 and 280,717.60

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Solution

The fourth proportional to 325,818.40, 488,727.60 and 280,717.60 is: 421,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,818.40 : 488,727.60 = 280,717.60 : x
  2. Step 2: Convert to fraction form
    325,818.40/488,727.60 = 280,717.60/x
  3. Step 3: Cross multiply
    325,818.40x = 488,727.60 × 280,717.60
  4. Step 4: Simplify right side
    325,818.40x = 137,194,438,925.76
  5. Step 5: Solve for x
    x = 137,194,438,925.76/325,818.40
  6. Step 6: Final answer
    x = 421,076.40

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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.