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Finding the Fourth Proportional to 319,382.56, 479,117.58 and 108,964

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Solution

The fourth proportional to 319,382.56, 479,117.58 and 108,964 is: 163,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,382.56 : 479,117.58 = 108,964 : x
  2. Step 2: Convert to fraction form
    319,382.56/479,117.58 = 108,964/x
  3. Step 3: Cross multiply
    319,382.56x = 479,117.58 × 108,964
  4. Step 4: Simplify right side
    319,382.56x = 52,206,567,987.12
  5. Step 5: Solve for x
    x = 52,206,567,987.12/319,382.56
  6. Step 6: Final answer
    x = 163,460.92

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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.