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Finding the Fourth Proportional to 321,870.56, 482,837.70 and 111,507.08

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Solution

The fourth proportional to 321,870.56, 482,837.70 and 111,507.08 is: 167,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,870.56 : 482,837.70 = 111,507.08 : x
  2. Step 2: Convert to fraction form
    321,870.56/482,837.70 = 111,507.08/x
  3. Step 3: Cross multiply
    321,870.56x = 482,837.70 × 111,507.08
  4. Step 4: Simplify right side
    321,870.56x = 53,839,822,040.92
  5. Step 5: Solve for x
    x = 53,839,822,040.92/321,870.56
  6. Step 6: Final answer
    x = 167,271.66

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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.