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Finding the Fourth Proportional to 354,032, 488,584.32 and 266,660.48

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Solution

The fourth proportional to 354,032, 488,584.32 and 266,660.48 is: 368,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,032 : 488,584.32 = 266,660.48 : x
  2. Step 2: Convert to fraction form
    354,032/488,584.32 = 266,660.48/x
  3. Step 3: Cross multiply
    354,032x = 488,584.32 × 266,660.48
  4. Step 4: Simplify right side
    354,032x = 130,286,129,291.67
  5. Step 5: Solve for x
    x = 130,286,129,291.67/354,032
  6. Step 6: Final answer
    x = 368,006.65

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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.