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Finding the Fourth Proportional to 354,300, 488,953.44 and 203,406.72

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Solution

The fourth proportional to 354,300, 488,953.44 and 203,406.72 is: 280,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,300 : 488,953.44 = 203,406.72 : x
  2. Step 2: Convert to fraction form
    354,300/488,953.44 = 203,406.72/x
  3. Step 3: Cross multiply
    354,300x = 488,953.44 × 203,406.72
  4. Step 4: Simplify right side
    354,300x = 99,456,415,463.12
  5. Step 5: Solve for x
    x = 99,456,415,463.12/354,300
  6. Step 6: Final answer
    x = 280,712.43

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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.