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Finding the Fourth Proportional to 328,872.49, 493,312.46 and 115,646.74

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Solution

The fourth proportional to 328,872.49, 493,312.46 and 115,646.74 is: 173,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,872.49 : 493,312.46 = 115,646.74 : x
  2. Step 2: Convert to fraction form
    328,872.49/493,312.46 = 115,646.74/x
  3. Step 3: Cross multiply
    328,872.49x = 493,312.46 × 115,646.74
  4. Step 4: Simplify right side
    328,872.49x = 57,049,977,800.38
  5. Step 5: Solve for x
    x = 57,049,977,800.38/328,872.49
  6. Step 6: Final answer
    x = 173,471.42

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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.