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Finding the Fourth Proportional to 454,455.60, 680,905.80 and 288,049.20

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Solution

The fourth proportional to 454,455.60, 680,905.80 and 288,049.20 is: 431,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,455.60 : 680,905.80 = 288,049.20 : x
  2. Step 2: Convert to fraction form
    454,455.60/680,905.80 = 288,049.20/x
  3. Step 3: Cross multiply
    454,455.60x = 680,905.80 × 288,049.20
  4. Step 4: Simplify right side
    454,455.60x = 196,134,370,965.36
  5. Step 5: Solve for x
    x = 196,134,370,965.36/454,455.60
  6. Step 6: Final answer
    x = 431,580.93

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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.