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Finding the Fourth Proportional to 312,605.92, 431,347.44 and 185,260.96

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Solution

The fourth proportional to 312,605.92, 431,347.44 and 185,260.96 is: 255,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,605.92 : 431,347.44 = 185,260.96 : x
  2. Step 2: Convert to fraction form
    312,605.92/431,347.44 = 185,260.96/x
  3. Step 3: Cross multiply
    312,605.92x = 431,347.44 × 185,260.96
  4. Step 4: Simplify right side
    312,605.92x = 79,911,840,827.94
  5. Step 5: Solve for x
    x = 79,911,840,827.94/312,605.92
  6. Step 6: Final answer
    x = 255,631.25

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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.