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Finding the Fourth Proportional to 390,185.28, 538,512.90 and 229,128.54

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Solution

The fourth proportional to 390,185.28, 538,512.90 and 229,128.54 is: 316,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,185.28 : 538,512.90 = 229,128.54 : x
  2. Step 2: Convert to fraction form
    390,185.28/538,512.90 = 229,128.54/x
  3. Step 3: Cross multiply
    390,185.28x = 538,512.90 × 229,128.54
  4. Step 4: Simplify right side
    390,185.28x = 123,388,674,548.17
  5. Step 5: Solve for x
    x = 123,388,674,548.17/390,185.28
  6. Step 6: Final answer
    x = 316,230.98

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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.