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Finding the Fourth Proportional to 310,446.72, 428,341.64 and 181,311.92

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Solution

The fourth proportional to 310,446.72, 428,341.64 and 181,311.92 is: 250,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,446.72 : 428,341.64 = 181,311.92 : x
  2. Step 2: Convert to fraction form
    310,446.72/428,341.64 = 181,311.92/x
  3. Step 3: Cross multiply
    310,446.72x = 428,341.64 × 181,311.92
  4. Step 4: Simplify right side
    310,446.72x = 77,663,445,164.35
  5. Step 5: Solve for x
    x = 77,663,445,164.35/310,446.72
  6. Step 6: Final answer
    x = 250,166.74

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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.