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Finding the Fourth Proportional to 490,498.69, 735,934.84 and 170,686.09

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Solution

The fourth proportional to 490,498.69, 735,934.84 and 170,686.09 is: 256,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,498.69 : 735,934.84 = 170,686.09 : x
  2. Step 2: Convert to fraction form
    490,498.69/735,934.84 = 170,686.09/x
  3. Step 3: Cross multiply
    490,498.69x = 735,934.84 × 170,686.09
  4. Step 4: Simplify right side
    490,498.69x = 125,613,839,480.95
  5. Step 5: Solve for x
    x = 125,613,839,480.95/490,498.69
  6. Step 6: Final answer
    x = 256,094.14

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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.