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Finding the Fourth Proportional to 310,552.30, 464,844.30 and 221,978.80

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Solution

The fourth proportional to 310,552.30, 464,844.30 and 221,978.80 is: 332,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,552.30 : 464,844.30 = 221,978.80 : x
  2. Step 2: Convert to fraction form
    310,552.30/464,844.30 = 221,978.80/x
  3. Step 3: Cross multiply
    310,552.30x = 464,844.30 × 221,978.80
  4. Step 4: Simplify right side
    310,552.30x = 103,185,579,900.84
  5. Step 5: Solve for x
    x = 103,185,579,900.84/310,552.30
  6. Step 6: Final answer
    x = 332,264.74

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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.