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Finding the Fourth Proportional to 390,175.90, 538,486.44 and 220,420.96

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Solution

The fourth proportional to 390,175.90, 538,486.44 and 220,420.96 is: 304,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,175.90 : 538,486.44 = 220,420.96 : x
  2. Step 2: Convert to fraction form
    390,175.90/538,486.44 = 220,420.96/x
  3. Step 3: Cross multiply
    390,175.90x = 538,486.44 × 220,420.96
  4. Step 4: Simplify right side
    390,175.90x = 118,693,698,051.78
  5. Step 5: Solve for x
    x = 118,693,698,051.78/390,175.90
  6. Step 6: Final answer
    x = 304,205.61

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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.