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Finding the Fourth Proportional to 388,195.40, 535,708.50 and 218,429.52

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Solution

The fourth proportional to 388,195.40, 535,708.50 and 218,429.52 is: 301,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,195.40 : 535,708.50 = 218,429.52 : x
  2. Step 2: Convert to fraction form
    388,195.40/535,708.50 = 218,429.52/x
  3. Step 3: Cross multiply
    388,195.40x = 535,708.50 × 218,429.52
  4. Step 4: Simplify right side
    388,195.40x = 117,014,550,514.92
  5. Step 5: Solve for x
    x = 117,014,550,514.92/388,195.40
  6. Step 6: Final answer
    x = 301,432.09

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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.