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Finding the Fourth Proportional to 309,947.20, 464,920.80 and 209,563.90

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Solution

The fourth proportional to 309,947.20, 464,920.80 and 209,563.90 is: 314,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,947.20 : 464,920.80 = 209,563.90 : x
  2. Step 2: Convert to fraction form
    309,947.20/464,920.80 = 209,563.90/x
  3. Step 3: Cross multiply
    309,947.20x = 464,920.80 × 209,563.90
  4. Step 4: Simplify right side
    309,947.20x = 97,430,616,039.12
  5. Step 5: Solve for x
    x = 97,430,616,039.12/309,947.20
  6. Step 6: Final answer
    x = 314,345.85

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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.