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Finding the Fourth Proportional to 312,664.24, 469,005.12 and 194,676.40

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Solution

The fourth proportional to 312,664.24, 469,005.12 and 194,676.40 is: 292,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,664.24 : 469,005.12 = 194,676.40 : x
  2. Step 2: Convert to fraction form
    312,664.24/469,005.12 = 194,676.40/x
  3. Step 3: Cross multiply
    312,664.24x = 469,005.12 × 194,676.40
  4. Step 4: Simplify right side
    312,664.24x = 91,304,228,343.17
  5. Step 5: Solve for x
    x = 91,304,228,343.17/312,664.24
  6. Step 6: Final answer
    x = 292,020.05

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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.