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Finding the Fourth Proportional to 213,731.40, 320,174.70 and 187,465.80

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Solution

The fourth proportional to 213,731.40, 320,174.70 and 187,465.80 is: 280,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,731.40 : 320,174.70 = 187,465.80 : x
  2. Step 2: Convert to fraction form
    213,731.40/320,174.70 = 187,465.80/x
  3. Step 3: Cross multiply
    213,731.40x = 320,174.70 × 187,465.80
  4. Step 4: Simplify right side
    213,731.40x = 60,021,806,275.26
  5. Step 5: Solve for x
    x = 60,021,806,275.26/213,731.40
  6. Step 6: Final answer
    x = 280,828.21

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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.