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Finding the Fourth Proportional to 388,196.52, 535,719.36 and 218,430.64

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Solution

The fourth proportional to 388,196.52, 535,719.36 and 218,430.64 is: 301,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,196.52 : 535,719.36 = 218,430.64 : x
  2. Step 2: Convert to fraction form
    388,196.52/535,719.36 = 218,430.64/x
  3. Step 3: Cross multiply
    388,196.52x = 535,719.36 × 218,430.64
  4. Step 4: Simplify right side
    388,196.52x = 117,017,522,665.19
  5. Step 5: Solve for x
    x = 117,017,522,665.19/388,196.52
  6. Step 6: Final answer
    x = 301,438.88

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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.