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Finding the Fourth Proportional to 215,009.41, 320,700 and 186,706.90

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Solution

The fourth proportional to 215,009.41, 320,700 and 186,706.90 is: 278,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,009.41 : 320,700 = 186,706.90 : x
  2. Step 2: Convert to fraction form
    215,009.41/320,700 = 186,706.90/x
  3. Step 3: Cross multiply
    215,009.41x = 320,700 × 186,706.90
  4. Step 4: Simplify right side
    215,009.41x = 59,876,902,830
  5. Step 5: Solve for x
    x = 59,876,902,830/215,009.41
  6. Step 6: Final answer
    x = 278,485.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.