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Finding the Fourth Proportional to 304,905.31, 457,430.64 and 105,227.43

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Solution

The fourth proportional to 304,905.31, 457,430.64 and 105,227.43 is: 157,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,905.31 : 457,430.64 = 105,227.43 : x
  2. Step 2: Convert to fraction form
    304,905.31/457,430.64 = 105,227.43/x
  3. Step 3: Cross multiply
    304,905.31x = 457,430.64 × 105,227.43
  4. Step 4: Simplify right side
    304,905.31x = 48,134,250,418.92
  5. Step 5: Solve for x
    x = 48,134,250,418.92/304,905.31
  6. Step 6: Final answer
    x = 157,866.22

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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.