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Finding the Fourth Proportional to 524,815.56, 787,605.66 and 209,362.68

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Solution

The fourth proportional to 524,815.56, 787,605.66 and 209,362.68 is: 314,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,815.56 : 787,605.66 = 209,362.68 : x
  2. Step 2: Convert to fraction form
    524,815.56/787,605.66 = 209,362.68/x
  3. Step 3: Cross multiply
    524,815.56x = 787,605.66 × 209,362.68
  4. Step 4: Simplify right side
    524,815.56x = 164,895,231,760.77
  5. Step 5: Solve for x
    x = 164,895,231,760.77/524,815.56
  6. Step 6: Final answer
    x = 314,196.54

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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.