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Finding the Fourth Proportional to 507,529.71, 700,414.20 and 289,797.48

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Solution

The fourth proportional to 507,529.71, 700,414.20 and 289,797.48 is: 399,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,529.71 : 700,414.20 = 289,797.48 : x
  2. Step 2: Convert to fraction form
    507,529.71/700,414.20 = 289,797.48/x
  3. Step 3: Cross multiply
    507,529.71x = 700,414.20 × 289,797.48
  4. Step 4: Simplify right side
    507,529.71x = 202,978,270,116.22
  5. Step 5: Solve for x
    x = 202,978,270,116.22/507,529.71
  6. Step 6: Final answer
    x = 399,933.77

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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.