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Finding the Fourth Proportional to 493,139.08, 680,511.54 and 311,949.64

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Solution

The fourth proportional to 493,139.08, 680,511.54 and 311,949.64 is: 430,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,139.08 : 680,511.54 = 311,949.64 : x
  2. Step 2: Convert to fraction form
    493,139.08/680,511.54 = 311,949.64/x
  3. Step 3: Cross multiply
    493,139.08x = 680,511.54 × 311,949.64
  4. Step 4: Simplify right side
    493,139.08x = 212,285,329,918.85
  5. Step 5: Solve for x
    x = 212,285,329,918.85/493,139.08
  6. Step 6: Final answer
    x = 430,477.60

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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.