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Finding the Fourth Proportional to 309,871.80, 464,807.70 and 219,670.20

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Solution

The fourth proportional to 309,871.80, 464,807.70 and 219,670.20 is: 329,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,871.80 : 464,807.70 = 219,670.20 : x
  2. Step 2: Convert to fraction form
    309,871.80/464,807.70 = 219,670.20/x
  3. Step 3: Cross multiply
    309,871.80x = 464,807.70 × 219,670.20
  4. Step 4: Simplify right side
    309,871.80x = 102,104,400,420.54
  5. Step 5: Solve for x
    x = 102,104,400,420.54/309,871.80
  6. Step 6: Final answer
    x = 329,505.30

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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.