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Finding the Fourth Proportional to 384,202.28, 576,295.34 and 128,053.40

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Solution

The fourth proportional to 384,202.28, 576,295.34 and 128,053.40 is: 192,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,202.28 : 576,295.34 = 128,053.40 : x
  2. Step 2: Convert to fraction form
    384,202.28/576,295.34 = 128,053.40/x
  3. Step 3: Cross multiply
    384,202.28x = 576,295.34 × 128,053.40
  4. Step 4: Simplify right side
    384,202.28x = 73,796,574,169.41
  5. Step 5: Solve for x
    x = 73,796,574,169.41/384,202.28
  6. Step 6: Final answer
    x = 192,077.40

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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.