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Finding the Fourth Proportional to 309,821.99, 464,140.51 and 209,489.72

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Solution

The fourth proportional to 309,821.99, 464,140.51 and 209,489.72 is: 313,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,821.99 : 464,140.51 = 209,489.72 : x
  2. Step 2: Convert to fraction form
    309,821.99/464,140.51 = 209,489.72/x
  3. Step 3: Cross multiply
    309,821.99x = 464,140.51 × 209,489.72
  4. Step 4: Simplify right side
    309,821.99x = 97,232,662,636.13
  5. Step 5: Solve for x
    x = 97,232,662,636.13/309,821.99
  6. Step 6: Final answer
    x = 313,833.97

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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.