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Finding the Fourth Proportional to 393,055.40, 542,435.69 and 221,027.51

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Solution

The fourth proportional to 393,055.40, 542,435.69 and 221,027.51 is: 305,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,055.40 : 542,435.69 = 221,027.51 : x
  2. Step 2: Convert to fraction form
    393,055.40/542,435.69 = 221,027.51/x
  3. Step 3: Cross multiply
    393,055.40x = 542,435.69 × 221,027.51
  4. Step 4: Simplify right side
    393,055.40x = 119,893,210,146.78
  5. Step 5: Solve for x
    x = 119,893,210,146.78/393,055.40
  6. Step 6: Final answer
    x = 305,028.79

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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.