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Finding the Fourth Proportional to 354,306, 488,961.72 and 203,412.72

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Solution

The fourth proportional to 354,306, 488,961.72 and 203,412.72 is: 280,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,306 : 488,961.72 = 203,412.72 : x
  2. Step 2: Convert to fraction form
    354,306/488,961.72 = 203,412.72/x
  3. Step 3: Cross multiply
    354,306x = 488,961.72 × 203,412.72
  4. Step 4: Simplify right side
    354,306x = 99,461,033,441.08
  5. Step 5: Solve for x
    x = 99,461,033,441.08/354,306
  6. Step 6: Final answer
    x = 280,720.71

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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.