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Finding the Fourth Proportional to 354,311, 488,968.64 and 203,417.72

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Solution

The fourth proportional to 354,311, 488,968.64 and 203,417.72 is: 280,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,311 : 488,968.64 = 203,417.72 : x
  2. Step 2: Convert to fraction form
    354,311/488,968.64 = 203,417.72/x
  3. Step 3: Cross multiply
    354,311x = 488,968.64 × 203,417.72
  4. Step 4: Simplify right side
    354,311x = 99,464,885,900.30
  5. Step 5: Solve for x
    x = 99,464,885,900.30/354,311
  6. Step 6: Final answer
    x = 280,727.63

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1.5x scale

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.