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Finding the Fourth Proportional to 356,943.68, 492,499.68 and 213,649.28

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Solution

The fourth proportional to 356,943.68, 492,499.68 and 213,649.28 is: 294,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,943.68 : 492,499.68 = 213,649.28 : x
  2. Step 2: Convert to fraction form
    356,943.68/492,499.68 = 213,649.28/x
  3. Step 3: Cross multiply
    356,943.68x = 492,499.68 × 213,649.28
  4. Step 4: Simplify right side
    356,943.68x = 105,222,202,032.23
  5. Step 5: Solve for x
    x = 105,222,202,032.23/356,943.68
  6. Step 6: Final answer
    x = 294,786.57

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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.