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Finding the Fourth Proportional to 490,009.26, 735,106.80 and 170,148.66

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Solution

The fourth proportional to 490,009.26, 735,106.80 and 170,148.66 is: 255,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,009.26 : 735,106.80 = 170,148.66 : x
  2. Step 2: Convert to fraction form
    490,009.26/735,106.80 = 170,148.66/x
  3. Step 3: Cross multiply
    490,009.26x = 735,106.80 × 170,148.66
  4. Step 4: Simplify right side
    490,009.26x = 125,077,436,976.89
  5. Step 5: Solve for x
    x = 125,077,436,976.89/490,009.26
  6. Step 6: Final answer
    x = 255,255.25

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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.