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Finding the Fourth Proportional to 390,182.40, 538,495.41 and 220,427.46

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Solution

The fourth proportional to 390,182.40, 538,495.41 and 220,427.46 is: 304,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,182.40 : 538,495.41 = 220,427.46 : x
  2. Step 2: Convert to fraction form
    390,182.40/538,495.41 = 220,427.46/x
  3. Step 3: Cross multiply
    390,182.40x = 538,495.41 × 220,427.46
  4. Step 4: Simplify right side
    390,182.40x = 118,699,175,447.96
  5. Step 5: Solve for x
    x = 118,699,175,447.96/390,182.40
  6. Step 6: Final answer
    x = 304,214.58

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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.