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Finding the Fourth Proportional to 442,940.30, 664,410.45 and 309,970.70

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Solution

The fourth proportional to 442,940.30, 664,410.45 and 309,970.70 is: 464,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,940.30 : 664,410.45 = 309,970.70 : x
  2. Step 2: Convert to fraction form
    442,940.30/664,410.45 = 309,970.70/x
  3. Step 3: Cross multiply
    442,940.30x = 664,410.45 × 309,970.70
  4. Step 4: Simplify right side
    442,940.30x = 205,947,772,273.82
  5. Step 5: Solve for x
    x = 205,947,772,273.82/442,940.30
  6. Step 6: Final answer
    x = 464,956.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.