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Finding the Fourth Proportional to 388,204.56, 535,730.40 and 218,438.64

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Solution

The fourth proportional to 388,204.56, 535,730.40 and 218,438.64 is: 301,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,204.56 : 535,730.40 = 218,438.64 : x
  2. Step 2: Convert to fraction form
    388,204.56/535,730.40 = 218,438.64/x
  3. Step 3: Cross multiply
    388,204.56x = 535,730.40 × 218,438.64
  4. Step 4: Simplify right side
    388,204.56x = 117,024,219,982.66
  5. Step 5: Solve for x
    x = 117,024,219,982.66/388,204.56
  6. Step 6: Final answer
    x = 301,449.89

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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.