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Finding the Fourth Proportional to 477,077.10, 715,504.94 and 140,027.25

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Solution

The fourth proportional to 477,077.10, 715,504.94 and 140,027.25 is: 210,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,077.10 : 715,504.94 = 140,027.25 : x
  2. Step 2: Convert to fraction form
    477,077.10/715,504.94 = 140,027.25/x
  3. Step 3: Cross multiply
    477,077.10x = 715,504.94 × 140,027.25
  4. Step 4: Simplify right side
    477,077.10x = 100,190,188,409.48
  5. Step 5: Solve for x
    x = 100,190,188,409.48/477,077.10
  6. Step 6: Final answer
    x = 210,008.38

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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.