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Finding the Fourth Proportional to 354,147.12, 488,708.76 and 192,998.76

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Solution

The fourth proportional to 354,147.12, 488,708.76 and 192,998.76 is: 266,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,147.12 : 488,708.76 = 192,998.76 : x
  2. Step 2: Convert to fraction form
    354,147.12/488,708.76 = 192,998.76/x
  3. Step 3: Cross multiply
    354,147.12x = 488,708.76 × 192,998.76
  4. Step 4: Simplify right side
    354,147.12x = 94,320,184,681.14
  5. Step 5: Solve for x
    x = 94,320,184,681.14/354,147.12
  6. Step 6: Final answer
    x = 266,330.51

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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.