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Finding the Fourth Proportional to 378,073.76, 521,737.64 and 216,954.16

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Solution

The fourth proportional to 378,073.76, 521,737.64 and 216,954.16 is: 299,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,073.76 : 521,737.64 = 216,954.16 : x
  2. Step 2: Convert to fraction form
    378,073.76/521,737.64 = 216,954.16/x
  3. Step 3: Cross multiply
    378,073.76x = 521,737.64 × 216,954.16
  4. Step 4: Simplify right side
    378,073.76x = 113,193,151,426.58
  5. Step 5: Solve for x
    x = 113,193,151,426.58/378,073.76
  6. Step 6: Final answer
    x = 299,394.36

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1.5x scale

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.