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Finding the Fourth Proportional to 524,665.20, 787,321.80 and 209,089.20

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Solution

The fourth proportional to 524,665.20, 787,321.80 and 209,089.20 is: 313,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,665.20 : 787,321.80 = 209,089.20 : x
  2. Step 2: Convert to fraction form
    524,665.20/787,321.80 = 209,089.20/x
  3. Step 3: Cross multiply
    524,665.20x = 787,321.80 × 209,089.20
  4. Step 4: Simplify right side
    524,665.20x = 164,620,485,304.56
  5. Step 5: Solve for x
    x = 164,620,485,304.56/524,665.20
  6. Step 6: Final answer
    x = 313,762.92

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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.