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Finding the Fourth Proportional to 309,898.80, 464,848.20 and 214,928.33

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Solution

The fourth proportional to 309,898.80, 464,848.20 and 214,928.33 is: 322,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,898.80 : 464,848.20 = 214,928.33 : x
  2. Step 2: Convert to fraction form
    309,898.80/464,848.20 = 214,928.33/x
  3. Step 3: Cross multiply
    309,898.80x = 464,848.20 × 214,928.33
  4. Step 4: Simplify right side
    309,898.80x = 99,909,045,005.27
  5. Step 5: Solve for x
    x = 99,909,045,005.27/309,898.80
  6. Step 6: Final answer
    x = 322,392.49

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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.