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Finding the Fourth Proportional to 261,090.40, 391,052.40 and 214,434.40

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Solution

The fourth proportional to 261,090.40, 391,052.40 and 214,434.40 is: 321,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,090.40 : 391,052.40 = 214,434.40 : x
  2. Step 2: Convert to fraction form
    261,090.40/391,052.40 = 214,434.40/x
  3. Step 3: Cross multiply
    261,090.40x = 391,052.40 × 214,434.40
  4. Step 4: Simplify right side
    261,090.40x = 83,855,086,762.56
  5. Step 5: Solve for x
    x = 83,855,086,762.56/261,090.40
  6. Step 6: Final answer
    x = 321,172.62

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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.