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Finding the Fourth Proportional to 507,029.18, 699,700.41 and 280,674.68

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Solution

The fourth proportional to 507,029.18, 699,700.41 and 280,674.68 is: 387,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,029.18 : 699,700.41 = 280,674.68 : x
  2. Step 2: Convert to fraction form
    507,029.18/699,700.41 = 280,674.68/x
  3. Step 3: Cross multiply
    507,029.18x = 699,700.41 × 280,674.68
  4. Step 4: Simplify right side
    507,029.18x = 196,388,185,174.12
  5. Step 5: Solve for x
    x = 196,388,185,174.12/507,029.18
  6. Step 6: Final answer
    x = 387,331.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.