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Finding the Fourth Proportional to 328,417.49, 492,847.32 and 115,187.39

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Solution

The fourth proportional to 328,417.49, 492,847.32 and 115,187.39 is: 172,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,417.49 : 492,847.32 = 115,187.39 : x
  2. Step 2: Convert to fraction form
    328,417.49/492,847.32 = 115,187.39/x
  3. Step 3: Cross multiply
    328,417.49x = 492,847.32 × 115,187.39
  4. Step 4: Simplify right side
    328,417.49x = 56,769,793,995.06
  5. Step 5: Solve for x
    x = 56,769,793,995.06/328,417.49
  6. Step 6: Final answer
    x = 172,858.62

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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.