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Finding the Fourth Proportional to 354,315, 488,974.16 and 203,421.72

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Solution

The fourth proportional to 354,315, 488,974.16 and 203,421.72 is: 280,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,315 : 488,974.16 = 203,421.72 : x
  2. Step 2: Convert to fraction form
    354,315/488,974.16 = 203,421.72/x
  3. Step 3: Cross multiply
    354,315x = 488,974.16 × 203,421.72
  4. Step 4: Simplify right side
    354,315x = 99,467,964,662.76
  5. Step 5: Solve for x
    x = 99,467,964,662.76/354,315
  6. Step 6: Final answer
    x = 280,733.15

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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.