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Finding the Fourth Proportional to 312,970.85, 469,549.84 and 221,961.59

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Solution

The fourth proportional to 312,970.85, 469,549.84 and 221,961.59 is: 333,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,970.85 : 469,549.84 = 221,961.59 : x
  2. Step 2: Convert to fraction form
    312,970.85/469,549.84 = 221,961.59/x
  3. Step 3: Cross multiply
    312,970.85x = 469,549.84 × 221,961.59
  4. Step 4: Simplify right side
    312,970.85x = 104,222,029,070.65
  5. Step 5: Solve for x
    x = 104,222,029,070.65/312,970.85
  6. Step 6: Final answer
    x = 333,008.74

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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.