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Finding the Fourth Proportional to 469,141.38, 647,415.96 and 254,280.78

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Solution

The fourth proportional to 469,141.38, 647,415.96 and 254,280.78 is: 350,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,141.38 : 647,415.96 = 254,280.78 : x
  2. Step 2: Convert to fraction form
    469,141.38/647,415.96 = 254,280.78/x
  3. Step 3: Cross multiply
    469,141.38x = 647,415.96 × 254,280.78
  4. Step 4: Simplify right side
    469,141.38x = 164,625,435,293.25
  5. Step 5: Solve for x
    x = 164,625,435,293.25/469,141.38
  6. Step 6: Final answer
    x = 350,907.94

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1.5x scale

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.