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Finding the Fourth Proportional to 390,174.90, 538,485.06 and 220,419.96

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Solution

The fourth proportional to 390,174.90, 538,485.06 and 220,419.96 is: 304,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,174.90 : 538,485.06 = 220,419.96 : x
  2. Step 2: Convert to fraction form
    390,174.90/538,485.06 = 220,419.96/x
  3. Step 3: Cross multiply
    390,174.90x = 538,485.06 × 220,419.96
  4. Step 4: Simplify right side
    390,174.90x = 118,692,855,385.80
  5. Step 5: Solve for x
    x = 118,692,855,385.80/390,174.90
  6. Step 6: Final answer
    x = 304,204.23

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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.