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Finding the Fourth Proportional to 349,687.20, 524,607.92 and 207,661.60

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Solution

The fourth proportional to 349,687.20, 524,607.92 and 207,661.60 is: 311,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,687.20 : 524,607.92 = 207,661.60 : x
  2. Step 2: Convert to fraction form
    349,687.20/524,607.92 = 207,661.60/x
  3. Step 3: Cross multiply
    349,687.20x = 524,607.92 × 207,661.60
  4. Step 4: Simplify right side
    349,687.20x = 108,940,920,039.87
  5. Step 5: Solve for x
    x = 108,940,920,039.87/349,687.20
  6. Step 6: Final answer
    x = 311,538.20

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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.