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Finding the Fourth Proportional to 356,156.96, 491,509.85 and 203,220.05

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Solution

The fourth proportional to 356,156.96, 491,509.85 and 203,220.05 is: 280,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,156.96 : 491,509.85 = 203,220.05 : x
  2. Step 2: Convert to fraction form
    356,156.96/491,509.85 = 203,220.05/x
  3. Step 3: Cross multiply
    356,156.96x = 491,509.85 × 203,220.05
  4. Step 4: Simplify right side
    356,156.96x = 99,884,652,818.84
  5. Step 5: Solve for x
    x = 99,884,652,818.84/356,156.96
  6. Step 6: Final answer
    x = 280,451.22

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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.