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Finding the Fourth Proportional to 311,870.84, 467,842.88 and 109,405.08

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Solution

The fourth proportional to 311,870.84, 467,842.88 and 109,405.08 is: 164,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,870.84 : 467,842.88 = 109,405.08 : x
  2. Step 2: Convert to fraction form
    311,870.84/467,842.88 = 109,405.08/x
  3. Step 3: Cross multiply
    311,870.84x = 467,842.88 × 109,405.08
  4. Step 4: Simplify right side
    311,870.84x = 51,184,387,713.83
  5. Step 5: Solve for x
    x = 51,184,387,713.83/311,870.84
  6. Step 6: Final answer
    x = 164,120.47

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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.