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Finding the Fourth Proportional to 390,334.31, 538,654.34 and 220,564.79

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Solution

The fourth proportional to 390,334.31, 538,654.34 and 220,564.79 is: 304,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,334.31 : 538,654.34 = 220,564.79 : x
  2. Step 2: Convert to fraction form
    390,334.31/538,654.34 = 220,564.79/x
  3. Step 3: Cross multiply
    390,334.31x = 538,654.34 × 220,564.79
  4. Step 4: Simplify right side
    390,334.31x = 118,808,181,384.69
  5. Step 5: Solve for x
    x = 118,808,181,384.69/390,334.31
  6. Step 6: Final answer
    x = 304,375.45

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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.