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Finding the Fourth Proportional to 397,898.56, 596,672.72 and 210,866.24

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Solution

The fourth proportional to 397,898.56, 596,672.72 and 210,866.24 is: 316,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,898.56 : 596,672.72 = 210,866.24 : x
  2. Step 2: Convert to fraction form
    397,898.56/596,672.72 = 210,866.24/x
  3. Step 3: Cross multiply
    397,898.56x = 596,672.72 × 210,866.24
  4. Step 4: Simplify right side
    397,898.56x = 125,818,132,976.97
  5. Step 5: Solve for x
    x = 125,818,132,976.97/397,898.56
  6. Step 6: Final answer
    x = 316,206.56

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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.