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Finding the Fourth Proportional to 413,980.80, 571,511.04 and 278,725.92

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Solution

The fourth proportional to 413,980.80, 571,511.04 and 278,725.92 is: 384,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,980.80 : 571,511.04 = 278,725.92 : x
  2. Step 2: Convert to fraction form
    413,980.80/571,511.04 = 278,725.92/x
  3. Step 3: Cross multiply
    413,980.80x = 571,511.04 × 278,725.92
  4. Step 4: Simplify right side
    413,980.80x = 159,294,940,414.16
  5. Step 5: Solve for x
    x = 159,294,940,414.16/413,980.80
  6. Step 6: Final answer
    x = 384,788.23

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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.