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Finding the Fourth Proportional to 428,502.79, 643,044.57 and 175,828.96

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Solution

The fourth proportional to 428,502.79, 643,044.57 and 175,828.96 is: 263,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,502.79 : 643,044.57 = 175,828.96 : x
  2. Step 2: Convert to fraction form
    428,502.79/643,044.57 = 175,828.96/x
  3. Step 3: Cross multiply
    428,502.79x = 643,044.57 × 175,828.96
  4. Step 4: Simplify right side
    428,502.79x = 113,065,857,976.75
  5. Step 5: Solve for x
    x = 113,065,857,976.75/428,502.79
  6. Step 6: Final answer
    x = 263,862.59

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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.