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Finding the Fourth Proportional to 312,798.96, 431,383.85 and 243,905.50

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Solution

The fourth proportional to 312,798.96, 431,383.85 and 243,905.50 is: 336,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,798.96 : 431,383.85 = 243,905.50 : x
  2. Step 2: Convert to fraction form
    312,798.96/431,383.85 = 243,905.50/x
  3. Step 3: Cross multiply
    312,798.96x = 431,383.85 × 243,905.50
  4. Step 4: Simplify right side
    312,798.96x = 105,216,893,626.18
  5. Step 5: Solve for x
    x = 105,216,893,626.18/312,798.96
  6. Step 6: Final answer
    x = 336,372.26

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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.