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Finding the Fourth Proportional to 483,129.60, 723,819.60 and 413,145.60

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Solution

The fourth proportional to 483,129.60, 723,819.60 and 413,145.60 is: 618,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,129.60 : 723,819.60 = 413,145.60 : x
  2. Step 2: Convert to fraction form
    483,129.60/723,819.60 = 413,145.60/x
  3. Step 3: Cross multiply
    483,129.60x = 723,819.60 × 413,145.60
  4. Step 4: Simplify right side
    483,129.60x = 299,042,882,933.76
  5. Step 5: Solve for x
    x = 299,042,882,933.76/483,129.60
  6. Step 6: Final answer
    x = 618,970.32

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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.