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Finding the Fourth Proportional to 498,726.82, 688,243.79 and 283,866.90

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Solution

The fourth proportional to 498,726.82, 688,243.79 and 283,866.90 is: 391,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,726.82 : 688,243.79 = 283,866.90 : x
  2. Step 2: Convert to fraction form
    498,726.82/688,243.79 = 283,866.90/x
  3. Step 3: Cross multiply
    498,726.82x = 688,243.79 × 283,866.90
  4. Step 4: Simplify right side
    498,726.82x = 195,369,629,240.30
  5. Step 5: Solve for x
    x = 195,369,629,240.30/498,726.82
  6. Step 6: Final answer
    x = 391,736.76

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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.