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Finding the Fourth Proportional to 513,467.60, 768,127.80 and 444,117.20

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Solution

The fourth proportional to 513,467.60, 768,127.80 and 444,117.20 is: 664,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,467.60 : 768,127.80 = 444,117.20 : x
  2. Step 2: Convert to fraction form
    513,467.60/768,127.80 = 444,117.20/x
  3. Step 3: Cross multiply
    513,467.60x = 768,127.80 × 444,117.20
  4. Step 4: Simplify right side
    513,467.60x = 341,138,767,778.16
  5. Step 5: Solve for x
    x = 341,138,767,778.16/513,467.60
  6. Step 6: Final answer
    x = 664,382.27

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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.