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Finding the Fourth Proportional to 378,068.21, 521,730.01 and 216,948.48

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Solution

The fourth proportional to 378,068.21, 521,730.01 and 216,948.48 is: 299,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,068.21 : 521,730.01 = 216,948.48 : x
  2. Step 2: Convert to fraction form
    378,068.21/521,730.01 = 216,948.48/x
  3. Step 3: Cross multiply
    378,068.21x = 521,730.01 × 216,948.48
  4. Step 4: Simplify right side
    378,068.21x = 113,188,530,954.58
  5. Step 5: Solve for x
    x = 113,188,530,954.58/378,068.21
  6. Step 6: Final answer
    x = 299,386.53

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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.