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Finding the Fourth Proportional to 378,643.92, 522,511.02 and 217,385.46

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Solution

The fourth proportional to 378,643.92, 522,511.02 and 217,385.46 is: 299,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,643.92 : 522,511.02 = 217,385.46 : x
  2. Step 2: Convert to fraction form
    378,643.92/522,511.02 = 217,385.46/x
  3. Step 3: Cross multiply
    378,643.92x = 522,511.02 × 217,385.46
  4. Step 4: Simplify right side
    378,643.92x = 113,586,298,437.77
  5. Step 5: Solve for x
    x = 113,586,298,437.77/378,643.92
  6. Step 6: Final answer
    x = 299,981.84

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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.