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Finding the Fourth Proportional to 490,870.35, 736,852.32 and 254,149.47

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Solution

The fourth proportional to 490,870.35, 736,852.32 and 254,149.47 is: 381,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,870.35 : 736,852.32 = 254,149.47 : x
  2. Step 2: Convert to fraction form
    490,870.35/736,852.32 = 254,149.47/x
  3. Step 3: Cross multiply
    490,870.35x = 736,852.32 × 254,149.47
  4. Step 4: Simplify right side
    490,870.35x = 187,270,626,596.27
  5. Step 5: Solve for x
    x = 187,270,626,596.27/490,870.35
  6. Step 6: Final answer
    x = 381,507.31

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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.