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Finding the Fourth Proportional to 550,855.09, 760,162.95 and 305,834.53

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Solution

The fourth proportional to 550,855.09, 760,162.95 and 305,834.53 is: 422,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,855.09 : 760,162.95 = 305,834.53 : x
  2. Step 2: Convert to fraction form
    550,855.09/760,162.95 = 305,834.53/x
  3. Step 3: Cross multiply
    550,855.09x = 760,162.95 × 305,834.53
  4. Step 4: Simplify right side
    550,855.09x = 232,484,078,536.66
  5. Step 5: Solve for x
    x = 232,484,078,536.66/550,855.09
  6. Step 6: Final answer
    x = 422,042.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.