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Finding the Fourth Proportional to 484,806.40, 726,334.80 and 428,819.20

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Solution

The fourth proportional to 484,806.40, 726,334.80 and 428,819.20 is: 642,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,806.40 : 726,334.80 = 428,819.20 : x
  2. Step 2: Convert to fraction form
    484,806.40/726,334.80 = 428,819.20/x
  3. Step 3: Cross multiply
    484,806.40x = 726,334.80 × 428,819.20
  4. Step 4: Simplify right side
    484,806.40x = 311,466,307,868.16
  5. Step 5: Solve for x
    x = 311,466,307,868.16/484,806.40
  6. Step 6: Final answer
    x = 642,455.03

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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.