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Finding the Fourth Proportional to 384,228.99, 576,371.25 and 147,571.74

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Solution

The fourth proportional to 384,228.99, 576,371.25 and 147,571.74 is: 221,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,228.99 : 576,371.25 = 147,571.74 : x
  2. Step 2: Convert to fraction form
    384,228.99/576,371.25 = 147,571.74/x
  3. Step 3: Cross multiply
    384,228.99x = 576,371.25 × 147,571.74
  4. Step 4: Simplify right side
    384,228.99x = 85,056,108,248.48
  5. Step 5: Solve for x
    x = 85,056,108,248.48/384,228.99
  6. Step 6: Final answer
    x = 221,368.27

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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.