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Finding the Fourth Proportional to 354,115.14, 488,678.16 and 192,969.81

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Solution

The fourth proportional to 354,115.14, 488,678.16 and 192,969.81 is: 266,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,115.14 : 488,678.16 = 192,969.81 : x
  2. Step 2: Convert to fraction form
    354,115.14/488,678.16 = 192,969.81/x
  3. Step 3: Cross multiply
    354,115.14x = 488,678.16 × 192,969.81
  4. Step 4: Simplify right side
    354,115.14x = 94,300,131,686.35
  5. Step 5: Solve for x
    x = 94,300,131,686.35/354,115.14
  6. Step 6: Final answer
    x = 266,297.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.