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Finding the Fourth Proportional to 319,606.10, 479,284.54 and 119,817.46

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Solution

The fourth proportional to 319,606.10, 479,284.54 and 119,817.46 is: 179,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,606.10 : 479,284.54 = 119,817.46 : x
  2. Step 2: Convert to fraction form
    319,606.10/479,284.54 = 119,817.46/x
  3. Step 3: Cross multiply
    319,606.10x = 479,284.54 × 119,817.46
  4. Step 4: Simplify right side
    319,606.10x = 57,426,656,200.07
  5. Step 5: Solve for x
    x = 57,426,656,200.07/319,606.10
  6. Step 6: Final answer
    x = 179,679.47

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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.