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Finding the Fourth Proportional to 422,709.30, 583,424.80 and 388,663.84

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Solution

The fourth proportional to 422,709.30, 583,424.80 and 388,663.84 is: 536,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,709.30 : 583,424.80 = 388,663.84 : x
  2. Step 2: Convert to fraction form
    422,709.30/583,424.80 = 388,663.84/x
  3. Step 3: Cross multiply
    422,709.30x = 583,424.80 × 388,663.84
  4. Step 4: Simplify right side
    422,709.30x = 226,756,123,119.23
  5. Step 5: Solve for x
    x = 226,756,123,119.23/422,709.30
  6. Step 6: Final answer
    x = 536,435.14

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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.