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Finding the Fourth Proportional to 378,511.74, 522,256.40 and 215,155.40

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Solution

The fourth proportional to 378,511.74, 522,256.40 and 215,155.40 is: 296,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,511.74 : 522,256.40 = 215,155.40 : x
  2. Step 2: Convert to fraction form
    378,511.74/522,256.40 = 215,155.40/x
  3. Step 3: Cross multiply
    378,511.74x = 522,256.40 × 215,155.40
  4. Step 4: Simplify right side
    378,511.74x = 112,366,281,764.33
  5. Step 5: Solve for x
    x = 112,366,281,764.33/378,511.74
  6. Step 6: Final answer
    x = 296,863.40

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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.