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Finding the Fourth Proportional to 393,128.48, 542,536.80 and 221,100.68

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Solution

The fourth proportional to 393,128.48, 542,536.80 and 221,100.68 is: 305,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,128.48 : 542,536.80 = 221,100.68 : x
  2. Step 2: Convert to fraction form
    393,128.48/542,536.80 = 221,100.68/x
  3. Step 3: Cross multiply
    393,128.48x = 542,536.80 × 221,100.68
  4. Step 4: Simplify right side
    393,128.48x = 119,955,255,405.02
  5. Step 5: Solve for x
    x = 119,955,255,405.02/393,128.48
  6. Step 6: Final answer
    x = 305,129.90

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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.