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Finding the Fourth Proportional to 388,298.28, 535,762.98 and 218,470.44

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Solution

The fourth proportional to 388,298.28, 535,762.98 and 218,470.44 is: 301,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,298.28 : 535,762.98 = 218,470.44 : x
  2. Step 2: Convert to fraction form
    388,298.28/535,762.98 = 218,470.44/x
  3. Step 3: Cross multiply
    388,298.28x = 535,762.98 × 218,470.44
  4. Step 4: Simplify right side
    388,298.28x = 117,048,373,976.31
  5. Step 5: Solve for x
    x = 117,048,373,976.31/388,298.28
  6. Step 6: Final answer
    x = 301,439.33

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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.