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Finding the Fourth Proportional to 408,814.89, 613,246.94 and 172,176.02

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Solution

The fourth proportional to 408,814.89, 613,246.94 and 172,176.02 is: 258,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,814.89 : 613,246.94 = 172,176.02 : x
  2. Step 2: Convert to fraction form
    408,814.89/613,246.94 = 172,176.02/x
  3. Step 3: Cross multiply
    408,814.89x = 613,246.94 × 172,176.02
  4. Step 4: Simplify right side
    408,814.89x = 105,586,417,406.38
  5. Step 5: Solve for x
    x = 105,586,417,406.38/408,814.89
  6. Step 6: Final answer
    x = 258,274.39

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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.