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Finding the Fourth Proportional to 312,158.92, 430,781.31 and 183,071.08

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Solution

The fourth proportional to 312,158.92, 430,781.31 and 183,071.08 is: 252,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,158.92 : 430,781.31 = 183,071.08 : x
  2. Step 2: Convert to fraction form
    312,158.92/430,781.31 = 183,071.08/x
  3. Step 3: Cross multiply
    312,158.92x = 430,781.31 × 183,071.08
  4. Step 4: Simplify right side
    312,158.92x = 78,863,599,665.51
  5. Step 5: Solve for x
    x = 78,863,599,665.51/312,158.92
  6. Step 6: Final answer
    x = 252,639.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.