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Finding the Fourth Proportional to 319,562.28, 478,979.16 and 199,674.58

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Solution

The fourth proportional to 319,562.28, 478,979.16 and 199,674.58 is: 299,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,562.28 : 478,979.16 = 199,674.58 : x
  2. Step 2: Convert to fraction form
    319,562.28/478,979.16 = 199,674.58/x
  3. Step 3: Cross multiply
    319,562.28x = 478,979.16 × 199,674.58
  4. Step 4: Simplify right side
    319,562.28x = 95,639,962,601.75
  5. Step 5: Solve for x
    x = 95,639,962,601.75/319,562.28
  6. Step 6: Final answer
    x = 299,284.27

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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.