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Finding the Fourth Proportional to 427,329.72, 640,807.74 and 202,754.34

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Solution

The fourth proportional to 427,329.72, 640,807.74 and 202,754.34 is: 304,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,329.72 : 640,807.74 = 202,754.34 : x
  2. Step 2: Convert to fraction form
    427,329.72/640,807.74 = 202,754.34/x
  3. Step 3: Cross multiply
    427,329.72x = 640,807.74 × 202,754.34
  4. Step 4: Simplify right side
    427,329.72x = 129,926,550,390.59
  5. Step 5: Solve for x
    x = 129,926,550,390.59/427,329.72
  6. Step 6: Final answer
    x = 304,042.86

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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.