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Finding the Fourth Proportional to 490,004.64, 735,084.87 and 170,254.31

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Solution

The fourth proportional to 490,004.64, 735,084.87 and 170,254.31 is: 255,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,004.64 : 735,084.87 = 170,254.31 : x
  2. Step 2: Convert to fraction form
    490,004.64/735,084.87 = 170,254.31/x
  3. Step 3: Cross multiply
    490,004.64x = 735,084.87 × 170,254.31
  4. Step 4: Simplify right side
    490,004.64x = 125,151,363,977.09
  5. Step 5: Solve for x
    x = 125,151,363,977.09/490,004.64
  6. Step 6: Final answer
    x = 255,408.53

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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.