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Finding the Fourth Proportional to 390,174.89, 538,485.06 and 220,419.95

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Solution

The fourth proportional to 390,174.89, 538,485.06 and 220,419.95 is: 304,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,174.89 : 538,485.06 = 220,419.95 : x
  2. Step 2: Convert to fraction form
    390,174.89/538,485.06 = 220,419.95/x
  3. Step 3: Cross multiply
    390,174.89x = 538,485.06 × 220,419.95
  4. Step 4: Simplify right side
    390,174.89x = 118,692,850,000.95
  5. Step 5: Solve for x
    x = 118,692,850,000.95/390,174.89
  6. Step 6: Final answer
    x = 304,204.22

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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.